{"pages":{"search":{"query":"Geometry For Physicists","originalQuery":"GeometryForPhysicists","serpid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","parentReqid":"","serpItems":[{"id":"14870929640957990178-0-0","type":"videoSnippet","props":{"videoId":"14870929640957990178"},"curPage":0},{"id":"10661551146520853002-0-1","type":"videoSnippet","props":{"videoId":"10661551146520853002"},"curPage":0},{"id":"375280028945473990-0-2","type":"videoSnippet","props":{"videoId":"375280028945473990"},"curPage":0},{"id":"13877103752804635741-0-3","type":"videoSnippet","props":{"videoId":"13877103752804635741"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEdlb21ldHJ5IEZvciBQaHlzaWNpc3RzCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","ui":"desktop","yuid":"7940556081769427859"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"10709073186451659594-0-5","type":"videoSnippet","props":{"videoId":"10709073186451659594"},"curPage":0},{"id":"2813195868498503372-0-6","type":"videoSnippet","props":{"videoId":"2813195868498503372"},"curPage":0},{"id":"14893654486849285234-0-7","type":"videoSnippet","props":{"videoId":"14893654486849285234"},"curPage":0},{"id":"8045539515681512497-0-8","type":"videoSnippet","props":{"videoId":"8045539515681512497"},"curPage":0},{"id":"5418515506828639504-0-9","type":"videoSnippet","props":{"videoId":"5418515506828639504"},"curPage":0},{"id":"18425959305535622099-0-10","type":"videoSnippet","props":{"videoId":"18425959305535622099"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEdlb21ldHJ5IEZvciBQaHlzaWNpc3RzCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","ui":"desktop","yuid":"7940556081769427859"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"504945267932936511-0-12","type":"videoSnippet","props":{"videoId":"504945267932936511"},"curPage":0},{"id":"3196849902831773937-0-13","type":"videoSnippet","props":{"videoId":"3196849902831773937"},"curPage":0},{"id":"18412155554560252855-0-14","type":"videoSnippet","props":{"videoId":"18412155554560252855"},"curPage":0},{"id":"8502639473403565463-0-15","type":"videoSnippet","props":{"videoId":"8502639473403565463"},"curPage":0},{"id":"8072511370917982106-0-16","type":"videoSnippet","props":{"videoId":"8072511370917982106"},"curPage":0},{"id":"12828801864153958507-0-17","type":"videoSnippet","props":{"videoId":"12828801864153958507"},"curPage":0},{"id":"2523817394050480226-0-18","type":"videoSnippet","props":{"videoId":"2523817394050480226"},"curPage":0},{"id":"17301791900016948069-0-19","type":"videoSnippet","props":{"videoId":"17301791900016948069"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"correction":{"items":[{"kind":"reask","rule":"Misspell","query":"GeometryForPhysicists","url":"/video/search?text=GeometryForPhysicists&noreask=1&nomisspell=1","params":{"text":"GeometryForPhysicists","noreask":"1","nomisspell":"1"},"helpUrl":"https://yandex.com.tr/support/search/info/request-correction.xml","helpTarget":"_blank","helpAriaLabel":"Yazım hatası düzeltme servisi"}],"id":"86357189085"},"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEdlb21ldHJ5IEZvciBQaHlzaWNpc3RzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","ui":"desktop","yuid":"7940556081769427859"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DGeometryForPhysicists"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"0383130896524258348474","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1457147,0,33;1471993,0,7;1466867,0,90;1457622,0,84;1433081,0,16;1424968,0,79;1468855,0,81;1460712,0,15;1464561,0,21;1459297,0,85;1459323,0,43;1471630,0,14;1461640,0,21;1461601,0,43;30275,0,69;1469886,0,71;124073,0,68;123854,0,22;1464523,0,38;1470250,0,24;1463533,0,65;1466295,0,33;1465958,0,95;1468619,0,47;1464405,0,83;1349071,0,36;658770,0,8;364898,0,8;1466618,0,14;1470513,0,67;1465693,0,37;1470317,0,98;912221,0,80;805351,0,79;1297912,0,57;19996,0,8;850909,0,41;151171,0,86;1269693,0,6;1281084,0,59;287509,0,46;86181,0,12;1447467,0,67;1231503,0,32;1473595,0,13;1466397,0,59"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DGeometryForPhysicists","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=GeometryForPhysicists","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=GeometryForPhysicists","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Geometry For Physicists: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Geometry For Physicists\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Geometry For Physicists — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y8c23dea7f6d36bd0213fd06335421a73","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1457147,1471993,1466867,1457622,1433081,1424968,1468855,1460712,1464561,1459297,1459323,1471630,1461640,1461601,30275,1469886,124073,123854,1464523,1470250,1463533,1466295,1465958,1468619,1464405,1349071,658770,364898,1466618,1470513,1465693,1470317,912221,805351,1297912,19996,850909,151171,1269693,1281084,287509,86181,1447467,1231503,1473595,1466397","queryText":"GeometryForPhysicists","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7940556081769427859","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769427863","tz":"America/Louisville","to_iso":"2026-01-26T06:44:23-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1457147,1471993,1466867,1457622,1433081,1424968,1468855,1460712,1464561,1459297,1459323,1471630,1461640,1461601,30275,1469886,124073,123854,1464523,1470250,1463533,1466295,1465958,1468619,1464405,1349071,658770,364898,1466618,1470513,1465693,1470317,912221,805351,1297912,19996,850909,151171,1269693,1281084,287509,86181,1447467,1231503,1473595,1466397","queryText":"GeometryForPhysicists","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7940556081769427859","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"0383130896524258348474","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":149,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"7940556081769427859","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1754.0__7d090cb2d4d9823803190509a95d03c049893005","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"14870929640957990178":{"videoId":"14870929640957990178","docid":"34-2-6-Z2AD3C6A5BACF476D","description":"Nature, Landscape, Nature sounds, Relaxing nature videos, 4K Nature, Wildlife, Documentary, Trekking, Camping, National parks, Forest walk, green forest, tree sounds, autumn forest, tropical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1577271/5edd35d960cb43dd9ead7ff10f55c5c0/564x318_1"},"target":"_self","position":"0","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlZ7pqbhuVSA","linkTemplate":"/video/preview/14870929640957990178?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Physicists measure quantum geometry for first time","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lZ7pqbhuVSA\",\"src\":\"serp\",\"rvb\":\"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-_ff9_wIA7P32_QQAAQAJCf_49wAAAOkB-Pv5_gEAAvMEDv0AAAAFAAABBAAAAPb-_v78_wAADg39_vgAAAAT-gn9AQAAABcG9fn-AQAA_Pvz8gEAAAAS9QIBAAAAAAMN-f3__wAA9QcC-AEAAAASCwD7AAAAACAALQpv2Ts4E0AJSE5QAipzEAAaYCoKABUoFt0KBw341AXKDxDJFO7wrOz_8gMA8A69CvYb4MH3LgA19yn_tAAAADUHABzIAOJj_83vLQDi5qnkCfUXf_cDvwsk7_-r4toRLyYJ7_El_AAF5-oKCSPiT_08CiAALfSqMzs4E0AJSG9QAiqvBhAMGqAGAAAQQgAA0EEAAK5CAAAcwgAAOMIAAEBBAACeQgAAMEEAAGDCAACoQQAAyMEAAEDAAABQwgAAJMIAAADBAABQwgAAqEEAAGjCAAA0QgAAAMIAAAAAAACEwgAAiEEAAAxCAACQwQAAMEEAAIbCAAD4wQAA4EAAABRCAACYwQAACEIAAHzCAABAwQAAnMIAAAAAAABAQAAAmkIAALBBAACCQgAA-MEAAIjBAAAgQQAAbEIAAIC_AACqwgAAwMAAAKhBAACMQgAAAEIAADDCAACgQQAAAMEAALhBAAAwQQAAoEEAAODCAAAQQQAAwMAAAGxCAABMQgAATMIAAJDBAADwwQAAaEIAAIjBAAAkwgAACMIAAOhBAACEwgAAdEIAAOhBAAB8wgAApEIAANjBAACAwgAAhMIAAIjCAAB4QgAAQEAAAHzCAADaQgAAGMIAALBBAADgQQAAYMEAANhBAAAgQgAAXEIAAMDBAAAMwgAAtkIAACBBAADQwQAADEIAAMrCAAC4QQAAMMEAAI5CAACAQAAAkMEAAEBAAAAkQgAAsMIAAMDCAACgQQAAgD8AABBBAAAAQAAAHEIAADxCAABAQQAASMIAAOhBAACAwQAA4EAAAIA_AADIwQAAZMIAADDBAAAwQQAANMIAAIhBAABcwgAAIMIAAIDAAACQQQAAFMIAAMBAAACAwAAAUEEAALDBAAB8wgAAQMEAAEhCAAAAQAAAkEEAAHBBAACgQQAAcMIAAABAAAAQQQAAEEIAAADCAABEQgAANMIAAADCAABUwgAA0EEAABhCAACAQAAAuEEAAJjBAAC4wQAA8EEAAAzCAADowQAAIMEAANjBAAAQQQAAcMEAAHxCAACIwQAANMIAAAzCAABAwQAAQMEAANpCAACAQgAAgMAAACBBAACgQQAAAEAAAIA_AACAQAAAQMIAACBBAACQwQAAQEEAAHBBAAAgwgAAAAAAAPDBAAAQQQAAFEIAAFBBAACowQAA6MEAAFBBAACAvwAAVMIAALjBAABQQQAALMIAAKhBAADgQAAAiEEAAADCAADQwQAAAMEgADgTQAlIdVABKo8CEAAagAIAAOA8AABsPgAAQDwAAPg9AABcPgAA6D0AAOg9AAAxvwAArr4AAIY-AACgvAAAmD0AAJI-AABMPgAAgLsAAKA8AADoPQAA-D0AAOo-AABNPwAAbT8AAIC7AAB8PgAAgLsAABA9AAA8vgAAmD0AAL6-AAD2PgAAIT8AABw-AAB0vgAABL4AAFC9AADgvAAAoLwAAKK-AABMvgAAzr4AANq-AABUPgAAiL0AAJI-AAA8vgAAbL4AAJg9AAD4vQAAjr4AAJg9AAAhvwAAVL4AAEA8AAAcPgAAiD0AAOg9AAD4PQAAfz8AAHy-AAAUPgAARD4AAOC8AACYPQAAgLsAALa-IAA4E0AJSHxQASqPAhABGoACAADIvQAAgj4AAIi9AABZvwAAZL4AAIq-AACCPgAATL4AAKg9AAAwPQAAQDwAAJK-AAAQvQAAlr4AABy-AADYvQAAXL4AAA0_AACAOwAAXD4AAIg9AAC2vgAA-L0AALi9AABAvAAAJL4AAOi9AACgPAAAuD0AAMg9AAAMPgAAgDsAAOi9AABUPgAAMD0AAIq-AABcPgAAUD0AAKq-AAAcPgAAdD4AAIg9AAAwPQAAFD4AACy-AACgvAAAf78AAHw-AABQvQAAqD0AAHQ-AAAwvQAAnj4AAHC9AACAuwAAUD0AAKi9AABUPgAAHL4AAFS-AACAOwAADD4AAAy-AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=lZ7pqbhuVSA","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14870929640957990178"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10661551146520853002":{"videoId":"10661551146520853002","docid":"34-9-16-Z6EEE26A89B5D5281","description":"What is the Pythagorean Theorem? How to find the missing side of a right triangle? Great questions, and we have the answers for you! In this video, you will learn everything you need to know...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3324746/24cc841234b77fd6d536c5dc33382ac8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/j7y8rwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfBNfizHJkt0","linkTemplate":"/video/preview/10661551146520853002?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometry for Physics - In 5 Short Minutes","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fBNfizHJkt0\",\"src\":\"serp\",\"rvb\":\"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_gIA7gr4__sBAAEG9QD6-P7-AOQC8PcD_AIAAvMEDv0AAAD-CPQH_AAAAPcD-PEB_wAABAT3BwQAAAAH-Qb59AAAABUIAvX-AQAA8vP49QIAAAAQ-_gFAAAAAPwD-AL_AAAA9QcC-AEAAAAYB_8HAAAAACAALVog2Ds4E0AJSE5QAiqEAhAAGvABf_Q1_uXg3QK33QkA6ETiAKUo9gAVG8cAzxsYANHttAER8v8B2cPo_ynJwf2I6wwB-jny_QwSD_8N1Tr_LOwJAPYS5wEXugMAbe5ABBwQsAHnQhP93hESANX5nPviDur6F-Mx_D3jygAN5qgLLfo5AUgVIATL4_D__8fnBb0YIwH74Nb9Dv_zDNgF8vYEDj7-B-3o_wEaA_jX8Oz8RwsSAhP43vwbDdwFBB7XCbb0IwPKBfz5-tgNEhH2JPvBGef9-uQe_dLADPX56DP80yj6DPIA5QPvDO0UCfkRBObgAPzkEvcXtkUN9uUC-_wk4-MJIAAtTXvxOjgTQAlIYVACKs8HEAAawAfou6O-dew5O2-wgTxc1_m873tvvbQFBL05ZOO9stILO4kDLb2JfVI-gGrXPCVXtTuKubq9ECwdvS1UyDyg4ig-UdvGvEQONjzv5U6-EKhDPRiswLv9B7K9v63HO3sOE7w7noA9KMAGvZGM5jrCViQ9AOHDvBKa7jwBnMW7ff7Bu6CSbr30Hy09P7m3vZ4_Er0_P2c9e2GXvNILDrxsWuk8n8qpPO_FlzySsxA9dYqqPUvl7bt9z6i99toHPPRAGLzhn608n9rqPHmoz7gsuxC-2RavvPs8yjvGKNI5D4dbvDb6ILsmQKg9kKgrPW_RrryXU8K8qXa8vM3fzjxtrOS9phEuPZROwTt6hyA9OeyDPUJFmLnIRSW-adGBPZ0Ix7xmZR48CQKeu1YWgbu5ido9CesVPa4LhTsyH4A9ibXYvb7TrrsJZMA8z1l1PYVjsTzdazc9jJyqPQR-g7zoIWg69PMrvfOuejwiD269PVkbvR2D4zqqcxY9BJ4qPXz0xDvnDBu9cP5QPYwHJbwFI6U91gI7vknlmjrO8ga9kDiKvZzLQ7x_7hU9fA_XPVXVU7siGyg-sWnKvNulyzpdJrm81xuQvRpbPjyl_0A82eqyvVOSN7rOJpa9-p6sPLXhMLvp-Ww7h9eqPQ7P_bs4BB09aClUvVaFwLuAdg87SXA5PTje2zqIjei8R0ELPCoaybmKfLI8cmaQPYw5NDpse3s9TeCxPKuKmTpIpO08f40_vRKkTrtNKGk9aBLLvcjNt7kVs3Q9QGCvvY1ifjg_3pI7EAjPPPPE1rhfrX-9LuKwPQkCOjmax4Y9AFMmvgVdQDlUG_y9Yrv7vRPT8jl49_a8WPKnPHvrmTi4ePi8g4rHO0wJHTqtdIy71XYzPUL_Grq7IOy8txQmvd3G1zcmipU9boZ7vStr5zjFTZc9RCBNPf7K6jhQtUw8uJSzPMuq5Licps89I7onPvUKsLmSUS88URVTvAJIZLnG86495J-pPeQCaja6F3O99DLKPJLaErWPeAk7_p7IvfHtrzjTzwg8ZjHRvT5LlzZY2Qg93Bg2vXmoYjlodTK-ZKQoPRfKTLcmjfK7yenrPOw5ujccXvA9fQT-PPTnkLjYY6K8QdsDuxllNDjB4ys-3KVovAeJdLmoJqe9VD3EvRy4g7iLSD69l_sJvRjexbgIvMA7_itrvZErmLdhBnk98zoSvkvnqbiKllc9EFj5PY0XQDg_-ku8qhkoPR74w7i0Afi9tVhFPVHgXDg7w1S9jwCJPR3nhzggADgTQAlIbVABKnMQABpgOPIACwEXyv8aEuwP0-Q-8Mw68Qnf3__w9AD9F88YDiXrygsLACDWGv-0AAAAGR3zHPQA7GjVsBgUDOwOsqf-DA9_AADd9PEmEMPLDycTDOw8BGkaAPf1qxIj9MwXPxQCIAAtvQ4tOzgTQAlIb1ACKq8GEAwaoAYAACBBAAAgwQAAAMAAAGDCAAAAwQAAgD8AAGhCAABwwQAAVMIAAGDBAACwQQAAMEEAAJjBAAAwwQAAiEIAAHjCAACgwQAAEMIAAPDBAADowQAAcEEAALTCAACQQQAAgEAAAEDCAACwwQAAwMAAAEBAAABgQQAACEIAAKjCAADQQQAACMIAAGBCAAAAQQAA-MEAAEDBAADUQgAAAEIAAADBAACAvwAAHEIAAL5CAACgQAAAQEEAANjBAAAkQgAAoMEAAMBAAADwQQAAAEAAAILCAAAgwQAAgL8AADxCAADgQAAAPMIAALDBAAA8QgAAdEIAAJBBAADgQQAAwMAAAILCAAAwQQAABMIAAABCAAAwwQAAgMAAAAjCAAA4QgAAGEIAAMLCAABkQgAA6MEAAJTCAAAMwgAAmEEAAAxCAACgwQAAIMEAAHRCAADAwAAA8MEAAIDAAABAQAAA8EEAAFxCAADIQQAAAEIAANDBAACGQgAAisIAAHjCAACAQQAAhMIAAIC_AACWQgAApkIAAIhBAAC4wQAAmEEAAABAAAAAwgAAKMIAADhCAADIwQAAyEEAAEBBAAAUQgAAPEIAACzCAABswgAAQEEAAADAAABQQQAA2MEAAIjCAACAQAAAVMIAAGBBAADwwQAAmMEAAKTCAAAgQgAAUMEAALjBAAAQwgAAEMIAABDBAAAQwQAAMEIAAITCAACSQgAAuEEAAODBAACoQQAAHEIAAATCAABswgAAgkIAAADAAADIQQAA6MEAAKhCAACAQAAAkMEAALhBAAAAAAAAcEEAAIDAAABwQQAAYEEAAKDCAADAQAAA0MEAAIzCAACIwQAAHMIAAAxCAAAowgAAmEIAAEBAAAAwwgAAGEIAAIDBAABYQgAAhkIAAPhBAABAwAAAnMIAAGDBAAAgQQAAkMIAANDCAACAQQAAdMIAACzCAADwwQAAKEIAAFDCAABAwAAAwMAAANhBAABYQgAAAMAAAODBAABgwQAA-MEAAFBBAACgwQAAGMIAAABAAAAwwQAAwMAAAFDBAADAwAAAaEIAAEDCAABgwiAAOBNACUh1UAEqjwIQABqAAgAAFL4AAKi9AABQvQAAuL0AAPg9AADOPgAAyD0AACe_AABEvgAAML0AADw-AABAvAAAZD4AADQ-AABMvgAAoDwAADA9AAAQvQAAVD4AAOY-AAAZPwAA6r4AAMo-AACAuwAAur4AADA9AACePgAAhr4AANg9AAAcPgAAtj4AAGS-AAB8vgAAHD4AAIg9AABQvQAAqL0AAJa-AADKvgAAhr4AALi9AACSvgAADz8AAHS-AADIvQAAPD4AAOg9AAC4vQAAyD0AAOa-AACivgAA5r4AAEQ-AAAEvgAATD4AABA9AAB_PwAAyr4AAEw-AACIvQAAPL4AAOi9AADYvQAAbD4gADgTQAlIfFABKo8CEAEagAIAAJi9AACAOwAAfL4AAC2_AACYvQAAcL0AAJo-AAAEvgAAEL0AAOC8AABwPQAARL4AAIC7AAB8vgAAoLwAAKi9AACYvQAA5j4AAAy-AAB0PgAAPD4AADC9AABQvQAA4LwAAIC7AAA8vgAAQLwAAKC8AADYPQAAED0AAFQ-AACgvAAAJL4AAKA8AACAOwAAFL4AALg9AABcPgAArr4AAAQ-AACOPgAAED0AAKo-AADIPQAAMD0AAIg9AAB_vwAAbD4AAJg9AADgPAAAHD4AABC9AACWPgAABL4AAKg9AAAwPQAAML0AAAQ-AADovQAA-L0AALi9AAAcPgAAmL0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=fBNfizHJkt0","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10661551146520853002"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1522964276"},"375280028945473990":{"videoId":"375280028945473990","docid":"34-5-4-Z0765DABFE709BC5E","description":"My Courses: https://www.freemathvids.com/ || This is a very rare book on geometry. It is based on lectures given by the Physics Department at Moscow University. It was published by MIR publishers.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1620958/161fcd845d5ddb06d28ad4382bbbc4d6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/o7QgQgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqclRlUkWbJc","linkTemplate":"/video/preview/375280028945473990?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometry for Physics","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qclRlUkWbJc\",\"src\":\"serp\",\"rvb\":\"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-v76BgDvCfn_-wEAAQX2APr5_v4A5gLx-AL9AgAC8wQN_QAAAP0C_AUBAAAA9Az6-gIAAAAEBPgHAwAAAAgAAwT8AAAAEv3-_P4BAAD5Afr5AwAAAAX-AwQAAAAA_Qb4-gIAAAD1BwH4AQAAABUJCgEAAAAAIAAtWlTkOzgTQAlITlACKoQCEAAa8AF_JvkDtAwE_CvxAQDJJggAqxzt_yQQ_wCoD_kB9PsJAQ4O1QHRAeL_GPY3_94O6gD9-dP-8dftACcEEQAp-wUA-P8tATDrEQAE5eQCHNwZAPH99f4P-Rv__Bkd_yQKAP3rKx7-7SjmABvyDQEc6esBBAsCBfsRBf4d1_D_7_cMBRDA8__9CBb-9SHW_QYUDgDu8Q_-2B3v_9jrFAIY9fb78wsM_v0C9fzk5Q3_E938-v3t7Pn-INX9-RP2_djh6AUS9PUB5-XxCN7uFP_rAwz34QYOAQsCDwAJHggJFe0Y-9j4Bf76_wAD2gr-EQ3mBQEgAC2yxCo7OBNACUhhUAIqzwcQABrAB4z2-L5eAiY88Q3qvHA_ED5E7Si9bOegvPX0cT1uD2c9s4ndPLos5r0afoG8D-VVvLcNk74bVBM8G7QcvQovYT4XcbC8QdPGOdQpT76tHma8R91zvKdZgL7i0uI4B5ovvedZBL3pojy92GxAPGv0Cr6OYP48A0wPPZ-Ivz23m2A8YemyPK4frLx8G1E8V3W5O9uZUz2SC5m9vOvsu67ufTzgQBA8dRQQvKsQBzypdwc9I3z5vMwbVLv2JRu89RkGveKSAz6Ho5A8OA9MPIuczzzyMjm9SfIcPWiAQb1rmbG8_pyju8goz70_bXm8cztqO7u7qT2SJIi9cihZumiKSryafw89aA_qvJXcXD0GQjc9cLbIOUemaD0KK9U8b2D2O5jqyD2tQam895OxPFwdAD6QZpE8M1eCOzEui7zku8Q9ELGBPMy9dj00RwY-ftK_u2dKxjwagHK9P8z5PI6dZr1h9le8yXLSvKfcjjqCKE69H95OvBH29zyfTK28WQ-EPArclb3ida29-ZXaOxJbm73EYg89GSkIPMoyST28dum8CfGSvGReYj3O-tS8xx4QPDUHCL2-ghk9xYB8u1LKNbwTILQ9Dre4Od9N-brjTDi9ZRnBuvwCNb3VnYI8VDuDvHmRiT22Rpk91tCfu8HqH7tI7Ek80pcUPDHQVb2LmU695vj-OcCQerwg0QS-jRIWujw-kDx6Z768TUxQumRZEzsEjw89yaIXuzvyMb12Cpg9S1d9OJguqbyjj_m6MQd1OVa4pbzdGqK8az0zuuEkjTzN4DQ9SSyyucb52z3iScE8zFqluQkoSDl9sIw83_eQOuEghLse8fU8_8wuuc-B5b3VaKg8FqYoOT1-7zxataA9nQwvuXfXHbz6H5q9RPFKOefruL3YLSK9F7gfObvs17zluoQ9YDzmuL7iJD0f-_S86LT-N4WxibuS-vw7OoxCuIlFDL0IBPo9b3E6uJFzi7qf21U9kSS0t6qCMb26__48zZXBuKMLRbx2T5M99i1HOALCvTxob1W9FQubOJoHED3eOMm9CDT7NtbsHL1QidA8nKpdOEN-vL2bRkm8eEvIN2bK_bx-cYk9xZwBOZXXJTxiEWM9ZAfAOK1jgbzczuM8VXF1OPfraT0wsg49HMLDuD-MAL5s6Is9uIn_uM5yNLxdD8u9qHCbt9cFMj0IeE0978ccuEHgtztuQSU8l-Kgt6BKUj0HOI49FZKMONklKjxWWhC9mVzFuNutWz0kYkq8mTFNNwK8kD05yis9eGiyNyAAOBNACUhtUAEqcxAAGmBm7gAoHSW08xcl4_3k_h3yvD78LK3u__gM_-4rxRwOL_nXHRUAG9_gB6YAAAAiDwUV_QDweAG0BjH3kPPmvv3nGn8AINIlzv8alcgBRhT6DyD9RSMA2-6cDgoIzgpKL9ggAC1DHxc7OBNACUhvUAIqrwYQDBqgBgAAyMEAAJBBAACoQQAA2MEAAGjCAAD4QQAArEIAAAjCAAD4wQAACMIAAABBAADAQQAA7sIAAMDAAACQQQAAcMEAABTCAABQwQAANMIAAIhBAAAQQgAAqMIAAARCAAAQQgAAVEIAAGhCAADAwQAAQMEAAHBBAACwQQAAyMEAADBCAACSwgAAAMIAAJLCAAD4QQAAgMEAALhCAAAkwgAAIMEAAARCAACYQQAAPEIAADxCAADoQQAAMEIAAADBAADAwQAAmMEAAPjBAABAwAAAAMAAAAxCAABswgAAWEIAAIC_AAAowgAAsMIAABBCAAAQQgAAoEEAAMBAAACUwgAA4EAAAIA_AAD4QQAAOEIAABBBAABMwgAAqEEAAHBCAADIQQAAgsIAAIxCAAAoQgAAnMIAALjBAACAwAAASEIAAFBBAAAcwgAAAEEAAETCAACYQQAA4EAAAMjBAADAQQAAoMAAAAxCAACwwQAAgEAAAP5CAAAQwgAA-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-AAB0vgAAd78AABC9AABQPQAAND4AABS-AAAEPgAA4j4AAJq-AAAQvQAALD4AAKC8AAAEPgAA8j4AAGs_AAAZvwAAuj4AADA9AACovQAAQLwAALI-AABcvgAAij4AAKC8AADWPgAAwr4AAKi9AABMPgAA5j4AAIA7AAA8vgAAEb8AAAO_AADYvQAAcD0AAAW_AADiPgAAZL4AADy-AACovQAA2D0AAIC7AAAEvgAA6r4AAPq-AAAFvwAA6D0AABy-AADYPQAA6D0AAH8_AAC6vgAABD4AALi9AAAUvgAAgLsAAOC8AADePiAAOBNACUh8UAEqjwIQARqAAgAAML0AAIA7AAB8vgAAN78AAMi9AADIvQAAlj4AABy-AAAQPQAAoLwAAHA9AABkvgAAQLwAAEy-AACYPQAA6L0AABS-AADaPgAAbL4AAHw-AADYPQAA-L0AAHC9AACAuwAAgDsAAMi9AABwvQAAgLsAAMg9AACgPAAAJD4AABA9AAA0vgAAcD0AADC9AADIvQAAND4AAII-AACWvgAAyD0AAJI-AACAOwAAfD4AAOg9AADgvAAAMD0AAH-_AABsPgAAQDwAAFC9AACAOwAAqL0AAI4-AAC4vQAAQDwAANg9AABAvAAA-D0AAJi9AABwvQAAoLwAAIg9AAAMvgAAmD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=qclRlUkWbJc","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["375280028945473990"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3350307300"},"13877103752804635741":{"videoId":"13877103752804635741","docid":"34-2-1-ZF6F0EDB04EBD1209","description":"I'm pretty much doing this to reinforce my learning, but maybe it'll help someone else out. Also, Geometric Algebra can't be promoted enough! I'm a bit rusty. //","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/775852/d9a9056c7c99ce0901038958a8b3e8b4/564x318_1"},"target":"_self","position":"3","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7mvf9x5QS1w","linkTemplate":"/video/preview/13877103752804635741?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"1.4 Quaternions | Geometric Algebra for Physicists","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7mvf9x5QS1w\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TPYIEJAGABCsqiwEQARp4gfz3-wAAAQD2_gMF_gX-Af0J9_z3_f0AAwL48wME_gD19wP_9wAAAA4I8_79AAAA7QD_-_sBAAAUA_sGBAAAABoC_QD3AAAAFP39_P4BAAD49_f9A_8AABL1AgEAAAAA_AgBAfz_AAD3Cwn9AAAAABX_A_wAAQAAIAAtBm7UOzgTQAlITlACKnMQABpgOQQAHScl1_4uJOTb5_0jMtQp6TXV7__MHAABON3uKBfstOkhACLbDvqxAAAAERnlKPMAAWHS2hEjEOzo6s7pAhd_9QCqBPb6AcXVODtBFBIN_0H5ANXt-d8kBclEKPctIAAtbfstOzgTQAlIb1ACKq8GEAwaoAYAALhBAADwQQAA6EEAAKDBAABAwAAAuEEAADBCAADAwQAAxsIAAOBBAAAYQgAAgL8AANDBAABowgAAaEIAACBBAADgwAAA2EEAADTCAACYwQAAlkIAADDCAABAQAAAmMEAAOBAAACAwQAAAMIAAODAAABoQgAAwEEAABzCAACEQgAADMIAACBCAACIwQAAIMIAAKjBAAC6QgAAiEEAACDBAADwwQAA4MAAAIBCAADQwQAAuMEAAAAAAABYQgAABMIAAOBBAAAYQgAAMMEAAFDBAADgQAAAIMEAAFBBAADQQQAApsIAAIzCAACQQQAAMMEAAIBBAAAQwQAAgMEAAHDCAAAgQQAA-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_AADIQQAACMIAAIjBAAA4wgAAwEIAAKjBAACIQQAAhsIAAIjBAAAgQQAAhkIAAHTCAADiQgAAcMIAACDCAABYwgAATMIAAIA_AAAQQQAAosIAAIZCAACgQAAAcMEAAITCAACgwCAAOBNACUh1UAEqjwIQABqAAgAAFD4AAKg9AABwPQAAsj4AABA9AAABPwAAhr4AAFm_AAALvwAAxj4AAHw-AADYvQAATD4AAMI-AACivgAAnr4AAJ4-AACovQAAmL0AAGE_AABdPwAAFL4AAFw-AADYvQAAPD4AAJg9AADoPQAAZL4AAHC9AABwvQAAhj4AADy-AADYvQAAoj4AACw-AADavgAAMD0AADy-AAAJvwAAkr4AALK-AACIvQAADz8AAEy-AAAcvgAA4DwAAEw-AADSvgAAJD4AAPK-AAC2vgAAzr4AAK4-AADaPgAAiL0AAJi9AAB_PwAARL4AAFA9AAAEvgAARL4AADQ-AAD4PQAAuL0gADgTQAlIfFABKo8CEAEagAIAABC9AADYPQAArr4AAF2_AACqvgAAHL4AAI4-AAAcvgAAgLsAANY-AACGPgAAQDwAAKK-AACGvgAAiL0AAJi9AADOvgAAKz8AAEy-AACaPgAAmD0AALq-AACgvAAA6L0AAHS-AAA8PgAAjr4AAEQ-AAAwPQAAUL0AAEQ-AACovQAADL4AAIi9AACWPgAA4DwAAMI-AADePgAAsr4AANi9AAAlPwAAFD4AAFC9AACAOwAAqL0AAGw-AAB_vwAAgLsAAMg9AACGvgAAML0AAKC8AADqPgAAEL0AAHQ-AACIPQAAqL0AAEC8AACIvQAAnr4AAIA7AADSPgAA6L0AAKg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7mvf9x5QS1w","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13877103752804635741"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10709073186451659594":{"videoId":"10709073186451659594","docid":"34-5-0-Z5299BB4B2FCBCB3F","description":"\"Master physics numericals with easy step-by-step explanations! In this video, we solve important problems to boost your understanding and help you score higher in exams.\" Thanking you for...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1025591/382e6178dab3600482fc11fe9fd7c053/564x318_1"},"target":"_self","position":"5","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dawz6hk2wCEo","linkTemplate":"/video/preview/10709073186451659594?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometry for physics Part 30","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=awz6hk2wCEo\",\"src\":\"serp\",\"rvb\":\"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_voGAPAC_vsEAQAABfYA-vn-_gDjDfYEAvwCAALzBA39AAAABQT-Cf8AAAD3A_nyAf8AAAQB9v4DAAAACAIAAPQBAAAS_f78_gEAAPkB-vkDAAAAB_oC_f8AAAD9Bvj6AgAAAP0MAPoAAAAADQUCAwAAAAAgAC1aVOQ7OBNACUhOUAIqcxAAGmBH_wAdIhm47RAN8_HO4zQArkfpEMHs__QE__sPwSkBMvjHDzQAK9b4DqQAAAA-N_ER5QAPdPywDj_42inJov3wC3_zI8IyAP8Pxu45MU4R-xX3QDAA4OvKCQ3ptgk3TO8gAC19ghk7OBNACUhvUAIqrwYQDBqgBgAADEIAAPDBAAAwQgAAuEEAAIBAAAC4wQAAsEEAAOBBAABQwgAA0MEAAOhBAACowQAAKMIAAMBAAACAwAAAAMAAAMBAAABAwgAAgEEAAIA_AABQQQAAlsIAAFDBAAAoQgAAAEAAADhCAACgQAAAFMIAAGBBAADoQQAAAMIAAFxCAADIwgAAgMEAAJhBAADQwQAAcMEAAOJCAADgQQAAmMEAAChCAABAQAAAeEIAAFRCAACAQAAAeMIAACjCAABgwgAAWEIAALhBAADgQQAA-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_AABkwgAAcEEAAHzCAAAAAAAAssIAACBCAAB4wgAA-MEAAHBBAAAwQgAAAAAAAIA_AADwwQAAIEEAAJRCAAAgwQAAJMIAAEBAAAD4wQAAQMEAAHDBAACUwgAA4EEAAFBBAAB8QgAAAEAAADBBAAAMQgAAFMIAAODBIAA4E0AJSHVQASqPAhAAGoACAABAvAAAmL0AAIA7AABQPQAAcD0AAB8_AACKPgAAKb8AAAy-AAAEvgAAlj4AADC9AADgPAAA0j4AAJq-AAD4vQAAoj4AAKC8AAC-PgAAET8AACs_AAADvwAAsj4AABQ-AAAwvQAAgLsAAIo-AACYvQAAnj4AALg9AACiPgAAyr4AAFy-AAAwPQAAJD4AAPi9AAC4vQAADb8AAEW_AAAsvgAAMD0AADS-AADyPgAAFL4AAGy-AAAcPgAAmD0AAHA9AADIPQAA3r4AABG_AABEvgAA6D0AAAQ-AAD4PQAAJD4AAH8_AACuvgAAjj4AAAQ-AAAQPQAAFL4AAHC9AACSPiAAOBNACUh8UAEqjwIQARqAAgAA2L0AAMi9AABUvgAAL78AAOA8AABwvQAAkj4AADy-AAAwvQAA4DwAAAw-AAD4vQAAgLsAAES-AABAvAAAcL0AAHC9AAATPwAA-L0AAIo-AAAMPgAA2L0AAEC8AABAvAAA4DwAAES-AACYPQAAoDwAAHA9AADoPQAAXD4AABA9AAB8vgAAyD0AABA9AAAkvgAAoDwAAEw-AAC6vgAA2D0AALI-AAAwvQAAjj4AAFA9AACAOwAAcD0AAH-_AAD4PQAAMD0AAOi9AACoPQAAgDsAAEw-AAAkvgAAMD0AALg9AADgvAAAgj4AAHC9AACIvQAA4LwAAKA8AABMvgAAoLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=awz6hk2wCEo","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["10709073186451659594"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2813195868498503372":{"videoId":"2813195868498503372","docid":"34-5-2-ZE07BDD6ECE629462","description":"I discuss the definition of differentiable manifolds and Riemannian metrics, with some examples and general principles. The transformation rules for vectors and tensors are obtained.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1027627/a2b62f6019d7bbfabab2839a42ecc72e/564x318_1"},"target":"_self","position":"6","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGy54JSVmmso","linkTemplate":"/video/preview/2813195868498503372?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Gravitation (2025): Lecture 8 - Riemannian geometry for physicists","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Gy54JSVmmso\",\"src\":\"serp\",\"rvb\":\"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_E78ZggQkAYAEKyqLARABGniB9gn-9f8BAO0E_AIJAv8A-v328vn9_ADt-PD8BQAAAPH0_wECAAAA_gjzB_wAAAD7AwQF9f4BAA0G9QMEAAAAGgL9APcAAAAWCAL1_gEAAPz78vIBAAAAF_v8_gAAAAD-CP4AAgEAAPkQ_QcAAAAAFwkLAQAAAAAgAC1Lo9I7OBNACUhOUAIqcxAAGmAzBAAP8__ZyzEU8dzSzBIi1xoBJNrb_9feAAYszN4A-vHL4xX_Fs4FE7YAAAAcCvEhxwDiYOHtHAIV5gn56ujrNX_UDsjM_xILx877DiMpGvcOKS8A6QTf8_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-AACaPgAAQDwAAJ4-AADoPQAAL78AAAy-AACGPgAAiD0AABS-AACSPgAAij4AAMi9AACYvQAATD4AAKA8AACYPQAAzj4AAH8_AAB8vgAAND4AAIi9AAAkvgAAuD0AAAw-AACovQAAoDwAAGQ-AAA8PgAAFL4AACS-AAA0PgAAuD0AAOA8AABQPQAA6L0AAKK-AABwvQAAmL0AABA9AACSPgAAmD0AABS-AABMPgAAhj4AAI6-AAAMvgAA-r4AAKi9AAAEPgAAgj4AACw-AADIPQAAoDwAAAM_AAD4vQAAUD0AAJY-AACYPQAAdL4AAOg9AABwvSAAOBNACUh8UAEqjwIQARqAAgAAuL0AAHQ-AAAQvQAAWb8AAEA8AACIPQAAJD4AABC9AAAsvgAAvj4AAAQ-AAAcvgAAmL0AAI6-AABAPAAAiL0AACS-AAAnPwAAoLwAAHQ-AAC4PQAAiL0AABQ-AABMvgAAEL0AAFA9AAB8vgAAiD0AAAS-AACgvAAAgDsAAOC8AABwPQAAmr4AAMi9AABcvgAAJL4AAJg9AAAsvgAAgLsAAPg9AACgvAAAmD0AAJi9AAAwvQAAqD0AAH-_AAAwPQAAVD4AAPg9AABMPgAA2L0AABw-AAAwPQAA6D0AABC9AACAuwAA2L0AAOC8AAA8vgAAML0AADA9AADIPQAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Gy54JSVmmso","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2813195868498503372"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14893654486849285234":{"videoId":"14893654486849285234","docid":"34-11-4-Z2AE3C248D0480564","description":"Virtual Simulation Geometric Optics for Physics Class: Access Link: https://bit.ly/3oEUKDQ Topics Optics Lenses Mirrors Focal Length Sample Learning Goals Explain how an image is formed by a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4365233/71d50825dc0ef27249ecec9df82c1fba/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RlqqSAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQ2U4FsGq8pI","linkTemplate":"/video/preview/14893654486849285234?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Virtual Simulation Geometric Optics for Physics Class | Interactive Science Experiment","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Q2U4FsGq8pI\",\"src\":\"serp\",\"rvb\":\"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_wEA8vr6AP8D_wEMAPv69gAAAO0K8AAFAAAAAfAE__oAAAAY9gEIBgAAAPID9_r8AAAABAf6CPkAAAAJAgAA8wEAAA4M-wP-AQAA8vP49QIAAAAeAgj7_wAAAOv__wP9AP8A8v_z9gEAAAAYCP8HAAAAACAALUuj0js4E0AJSE5QAiqEAhAAGvABdwcIAbns1f8G9N0A9x_dAYEiCv4Y7-EAyBEiAe8n8wAFIwoABPsg__YgNgC9BwH_Fv81_j3-A__5-yT__QD7ANzXJAEO3CcBNQ8WAh8BBf4TKRD_-BQbAdPkGwDfCvIA-Qj2Afze4AHF-dABLiotAQDz6gIN_PQBDyUCA-sGFf0O_fEEIxQUBP3XFgDlCA39HfHpAyQz9P4AHPMA5QEh_xLi4vgovff5H_3u-sf3GwIa_yD-IOLmAu_t7v_-BfwJxAMQ_QzwBfsHKQsJDN3_CxzSCQQPFQYE6BcEASXf7wHdJwUG1f_u9vn89v0t6QAEIAAt_yEdOzgTQAlIYVACKs8HEAAawAcoEN6-JIc-vbtcmb37dvG7GbRGPJhp-zzjoLm9HG2LPF4FI7zToxk-qDZ4PWEJ97oN47a-Bi5vvWsz5zsgeRc-XNHBPN1y_brJ7l294n72PBjWSL1KTcG9ZuY4O08ajzzMvpG98bShvGr07juydZo9pcvRvC3oAbyFYHW9GxZevYF-OrwoEzI9sF8rvbGnPb2Vfw0-oqRWvbFVXTzsNFI-2bv5u75_mDtrOJu8cVtWPZf-JT0ZWBe-FU0RvS4dczz6E7C9-1Qavbh5ITw8rCY84NadPP56Krz3N509Cis1PWyY_Dusqkc-KmQ4PfKo37sNtuK8x9aWukbgOb3-SJE8AeYQPYVbgLsbKps9WJ1GPd9ML7u45ym-xk9jvYnETjxhScM8HRc8O7ASHjzNHug9RQKXvGjJyDzl8ro9w920vAS6I7zmW988FshHvT4_zDzdazc9jJyqPQR-g7y-W-o8ls6XPY82jrk2Q8O7A-8_PfAb_LqoS1C9N2VYvQXnBLvVKUo9urMAvUxap7wVAe49gRUxvTNGNbwkCWc9Gya_vJdMW7qBCLE8dxVSvAvqgLxWIhW98_Fgu3KTZjvJWSi-OjW8u_J9Djx-n5s975Y_vPwIFTyy6Ge80J0QPn8_a7ndlBe9BTbnOhd3TTyUpn87dtr_PHeIvTsaWCI9hyEoPRjhdTu7JT497KS-vLar57s7Bl89eLcSPUHGs7oZkRg--H60PBnmbTmcY5q99fVcvW7hKTp_vi29IVeqPHCOBLs0l7U9uqncvOZYeLhMM6K98nvbPJrgvzmdoA09cJBVPSXAiLkGjLS9_VwevVTHaLmXH9i9WGYbPeorjLn076M7j_2svKAKZTlWUp28Q8pPvLcDxTZ-Mza9pFCWvS6Do7f9ipC86T36vIePgLmhpBu9kKN3u1gforeRQok9ouM0vIaWkrjpwGg9QVCZvQk0hrhtKaY9V59hPVSCKLjDgCU8546OvcNmcjlZ3ao9kcayPCNUXzi-OAy9CV34vGqYn7geHbK8Tg6_vXZlFzi9yEQ9LtGPPASmpTZU_tY7zuLlPU9VWjhPXfk6k22FvPNkJjhZp0q9NkcMvQFXSzfEzw8-PGrpu57LlTYOpjw8OgLZu-I2QTjCpNg9NiomvXu0LbnApEI83wNPvG50JbiQvX69PGFOPY7ToLXltp29BP4QvXFWkbc8Rp48JTkFvTjPvLWz34k9hwWtvKGpfjjwsjW9XMzPPQxGCrluA429J2muPb_3FjcoNaq8M9wgvRWSTDYgADgTQAlIbVABKnMQABpgW_kAG-MK5fwrRtQS6-ovy9A73gW1BP8D9f8xHrT1CC8itgAZAFn7HRShAAAAAfTnJc8ADX_Jqgzl8ScVvuzRCvNvJBTuvs48GqTgIf9J-_Qh7SEsANDGrCI13Lk-1SAMIAAtUukTOzgTQAlIb1ACKq8GEAwaoAYAAIjBAACYQQAAaEIAAIA_AABAQQAAsEEAAMRCAAAgwgAAaMIAAIDAAAAEQgAAlEIAAGjCAABAQQAAEEEAAIjBAAAAwQAAgsIAAFzCAABswgAAgEEAAAjCAAAAwAAAkEEAAJxCAAAUQgAAwMEAALjBAABAwAAAEMEAAEDBAACAQgAAYMIAAMjBAACYwQAAjMIAAKBCAACAPwAAAEAAAIC_AADAwAAAnkIAAIhBAAAwQgAAEEEAACjCAACAPwAAYEEAAExCAADYwQAA2MEAALjBAADuwgAAUEEAAFBBAACgQAAAUMIAAGjCAAC4QQAAfEIAAADAAAA0wgAAAAAAAMjBAABAwAAAEEEAAADAAAAQQQAAoMEAAFDBAABkQgAAUEEAAOBBAACYQQAAMEEAALBBAADAwQAA6EEAAIA_AAAQwQAANMIAAAxCAADAQAAA6EEAAJBBAABcwgAAIMEAABhCAAB8QgAAcMEAAGRCAACSQgAA8MEAADBBAABcQgAAPMIAAHTCAAAEwgAAIEIAAFxCAACowQAAgMAAALhCAAAAAAAA2MEAAAxCAABAQQAAwEEAABBCAAAMQgAAZEIAAABAAACQQQAA_kIAAHDCAADgwAAAcEEAADTCAACKwgAAcMIAAIDBAAAEwgAAYEEAAEzCAACQwgAAAEAAAEBBAACAvwAACMIAANhBAACAPwAA0EEAAGDBAADYQQAAcEEAAAhCAACoQgAAMEEAAMDAAABAwQAA4MAAAADAAAAAwQAAMMEAAIDAAAAAQQAAkEEAAMBAAAAoQgAA2EEAAKDAAACAwQAA-EEAACTCAACWQgAAAAAAAAAAAAC4wQAAVMIAAIA_AACowQAAYEIAAEBAAAC4QQAA4MEAAMDAAADgwAAABEIAAARCAABQQQAAZEIAANRCAABQQQAAtsIAANDBAABgQQAAAEAAAEDCAAAAwgAAkEIAADzCAADgwQAAjMIAAAjCAACKQgAAlEIAANDBAACIQQAA8EEAAERCAABAQQAAOEIAAABCAAAowgAAAEEAANjBAAAMQgAAgD8AADTCAABsQiAAOBNACUh1UAEqjwIQABqAAgAAlr4AAMK-AAAQPQAAgj4AADA9AABkPgAAqL0AAAu_AABwvQAAML0AAEC8AACgvAAAmD0AAJo-AACWvgAAmD0AAJY-AABAvAAAVD4AAA0_AAB_PwAAgLsAAIA7AACAOwAABL4AAKA8AADYPQAAlr4AAMg9AABAPAAAHD4AALi9AACAuwAARL4AAM4-AABkPgAA-D0AAMK-AACGvgAAmD0AAJ6-AACgvAAAxj4AAIC7AABEPgAAMD0AAIg9AACgvAAAHL4AALq-AABkvgAAFL4AADA9AACqPgAAML0AABC9AABFPwAAyL0AAMg9AADgvAAAML0AAHC9AADYvQAAuD0gADgTQAlIfFABKo8CEAEagAIAAHS-AABwvQAAJL4AADG_AABQvQAAyL0AADw-AACovQAAEL0AAAQ-AABQPQAAFL4AAKi9AABUvgAAiD0AADC9AABQvQAAHT8AABA9AADSPgAAUD0AAFA9AAAwvQAAiL0AAKC8AACYvQAAQLwAAOA8AABAvAAAED0AALg9AACoPQAAoLwAACy-AAAMPgAAJL4AADA9AACCPgAAmr4AAGQ-AABMPgAAoLwAADA9AABwvQAA4LwAAIA7AAB_vwAAoLwAAOA8AABMvgAA6D0AADy-AACoPQAAuL0AAKY-AABQPQAAgLsAAOA8AACovQAAEL0AAOC8AADgPAAAmL0AADA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Q2U4FsGq8pI","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14893654486849285234"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3065857549"},"8045539515681512497":{"videoId":"8045539515681512497","docid":"34-5-7-ZF81437417028EBB7","description":"geometry, ray optics ke liye basic geometry...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4012718/07e9b5c9e040d35920c7b300b671bcfc/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Yo9HMAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DeS9cNFaYkl0","linkTemplate":"/video/preview/8045539515681512497?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic Geometry For Ray Optics | Basic Geometry For Physics | Ray Optics Class 12 Physics","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=eS9cNFaYkl0\",\"src\":\"serp\",\"rvb\":\"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_E-sCggQkAYAEKyqLARABGniB8QUDAfsFAPEE9vf-AAEAGfsG__YCAgDlAvH3Av0CAP32BgMCAAAABQT-Cv8AAAD_Cvz3Af4AAAQG-wf5AAAAEQQG-fgAAAAQAPzx_wEAAPX7_vwDAAAABgAIAAAAAAD9Bvn8-v4AAfECAQQAAAAAEgoA-wAAAAAgAC0SBuA7OBNACUhOUAIqhAIQABrwAWT7HwHc2-sA5fnwANM37gGBFfD_CwfK_8b0CQC5ENT_8BX4APLgGAAV4wUA0gHy_zIS8wAK7f8AD98EAAT1-AHIGuUAG_IEATQRA_8S-PkAyPkT_hEHJAAU-f_-IADwAgHzBf76AdL__-rUAC37CAP-Bw8BBe0H__cUAv0CHf8E6fjf_v0GAgP69fv8yxsUAwn93gAdFw79zOj6AATg_AgN7_L-KQ7qAQ8G5gTSDAIG9Rb6ACHw-AADLBL_7er59QT8EPve9woFBwoH__3kCQcH_fkKEPL9_wnvCfsN1Pr01hAB-uYYBgsDCv4HHPf1ACAALVH0NTs4E0AJSGFQAirPBxAAGsAHsg7HvudZJDzfCpe8pZ2PvUTkz7yFS728P-lfvfBknD0Sj1q97rK_PbewUz1WNVe9s_B1vsfQlrxFZEA5GHcTPtWKgLz-jYe7huMJvt8g9TysASq9Efw_vn9geD0QRBK8jsgnPvNEZj2waCO8oDTEPabVUL0R_9Y5IZWivIZEkLxO3ra8G0YBvmItjr1G6yg7Wt82PenbnbxTkco8VmynPf8IwzzVUsq8s81yPUH7hzwK98q81jEzvY1S-Dw0P8i8K9nxPT19BL0vAVM8Dav4vTr0TD1hWoq85V4AvU2YurzY_2-8NuwyPQANBT3E0ju9XU4uPTED-rytd6w7l-QwvkRvLD3sgma8Ka6qPJZKrj34P9m7ZDvEvRV1gTykC3u8YKWsPS8MvzvaOe47LEUSPqDcO73PiZg8COdDPhZMQT356cs6QVw9u2vUwz3EGwI8cHNPO2d2gj1Ikru8KAWCvMXeoD2mP-C8e4zqO3d7hb18YdM7VOYGvcl9Zj0VudY8PnspvXXjIj3o8DU8j-AWPlt4Dr4D5w68x2njvBCbQ71813s8TkbVvCezmz0tdKk7Wz6XPfikw72o1Dq7rHH2vHyPZL2Awo86AsiKPTiMjb0Ux2S7_DGyvctBqj0DH0C5Zh6_vYUtbD1qMVu74-BSPG--bDzzE_c7Zd8XPL3KNTwCza076zaovBbKuLwo7bK7xnCQvHxpIzzA35q7CyToPasBL73sydM5Ls6DvWEIL72oqMq5OLnEPG7mRryk86u7JAOnuxcno7xb1-Q6_reSPAZcAT3bHSw4doR4vaWeBT6jQ6K38V7avI9_MDwRqXK5sxO0vdZFkL20ZzA5XVWhvQDcUTz0PMk4F6ibPYyyHbp3GWy55YySvZO5A73jfZ65MuOdvRrAmzwPwPQ4iqIxPa5YC7zlZZ-4vuIkPR_79LzotP43yLggurBl6DwvwnW4BaR9PJqEgT2wtak4CrWquzOx77wSTry40SWnPc7ZZz3-jyQ5LA63vX8mTD1KrMQ49mnLPLE-FL2CTOq3N-KJPc_UMD0bGjE3s4qIPSCPKrxbI4U3yXl6veKBFjxZzWU42peHPV1nqruw5pc4S4-7PUI-CL08Y3w47uh_vP7u_T1UQao4weMrPtylaLwHiXS5tjK8vd9tXrtAliO3bhuxvSwuzr0-8V64V7_IvPkVxjyuaau3ptSFPaSRy7sW7IC4ucF1PC3sCT6GJ-c4OaELvdEQhD3l09W4squPvXy6-jxzlDQ33gEevRmxjTvVAz44IAA4E0AJSG1QASpzEAAaYFrwACjeBcICAwfjBcHtScK0JtT519b_Bej_-iHONggdGb4gDgAX__AeoAAAABYPyQ_fAAR_sLoXJO7l8sifDScHdAP72-XsHxOz_XUuNvvsAg9QTADO_6AWOv-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_AAAwwQAAsEEAAKDBAABAQAAAgEEAAMjBAADgQAAACEIAAEBAAADQQQAAgEEAAMhBAADAwQAAgEIAAAhCAABAQQAA9sIAAJDBAACuQgAALMIAAKBBAACQQQAAKMIAANjBAACYwQAAMEIAAKBBAAD4QQAAAEAAABjCAAAgQQAACMIAAJDBAABQQQAAYEEAABjCAABAQAAAZEIAAMBAAAAAwAAAUEEAAIBAAACYwQAAZEIAAITCAACOwgAAHEIAAADBAABQQQAAFMIAAIDAAAA4QgAAcMEAAGRCAACQwQAAnsIAAGBCAAAQwgAASMIgADgTQAlIdVABKo8CEAAagAIAAPi9AABcvgAAmD0AAMg9AABUPgAALD4AAMi9AAAdvwAA6D0AAFC9AADYvQAAbL4AAKI-AAAMPgAAir4AANi9AAAQPQAAMD0AADw-AACiPgAAfz8AADC9AADoPQAApj4AACw-AAC4vQAAqj4AANi9AAB8PgAAEL0AAPg9AADIvQAAdL4AAIC7AAAMPgAAqD0AAPg9AACuvgAAwr4AABS-AADovQAA-L0AADA9AADIvQAAqD0AAPi9AAAUPgAAmD0AAMi9AACavgAALL4AAOi9AACaPgAAFD4AAIg9AADgvAAAQT8AACy-AACAOwAA2D0AAKi9AADIPQAAFL4AAJg9IAA4E0AJSHxQASqPAhABGoACAACOvgAAyL0AACS-AABBvwAAEL0AANi9AAB8PgAAiL0AAHC9AAD4PQAAoLwAABS-AACgPAAAmL0AAIC7AACYvQAA6L0AAAM_AACIvQAAoj4AAKC8AACIPQAAyL0AADC9AACAuwAAcL0AADQ-AACAOwAAED0AAMg9AACYPQAAuD0AAFy-AADYvQAAJL4AAES-AABwPQAAVD4AAI6-AADYPQAA4DwAAKi9AAAEPgAAyD0AAEC8AACYvQAAf78AALg9AACAOwAAoLwAAHA9AADYvQAA2D0AABC9AAAsPgAAUD0AAOA8AAAsPgAAQDwAADC9AACYPQAAqL0AALi9AACovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=eS9cNFaYkl0","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["8045539515681512497"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3009751123"},"5418515506828639504":{"videoId":"5418515506828639504","docid":"34-2-4-Z14AC0FB32C9E3D4E","description":"Basic knowledge of Geometry that's needed for understanding the Physics. It's very helpful for students who are appearing in JEE MAIN | NEET | Boards. Visit our website...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3479556/b41f8550588a5d5fdadd848cdf5b4ad0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/OPcpdgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3kRUtztQYxE","linkTemplate":"/video/preview/5418515506828639504?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometry for Physics (Short discussion) || Physics || JEE MAIN || NEET || CBSE || ISC || Wbchse","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3kRUtztQYxE\",\"src\":\"serp\",\"rvb\":\"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_E6YPggQkAYAEKyqLARABGniB_An1AfsFAPUD_gIAA_8B-_wE_fr9_QDlAvH3Av0CAPr1_Qf9AAAAAPv4Cv4AAADuCvT0_gEAAA0A_QP7AAAACAIAAPQBAAASAQj9_gEAAPz78_MBAAAACwT5BQAAAAD9Bvn8-v4AAfwHBvUBAAAAFwf_BgAAAAAgAC1gPeE7OBNACUhOUAIqhAIQABrwAWjuE__m79EB5MHgAMw_6wGBIgr-_THVAKvp_gDNFdkA5i4aAN__D_8k_xEA3z4P_0T34wDx3xD_MM0f_xQCDADm8zAAGu4QATwUA__j5O3-_R35_wn7CgD13bgA6yf-__MjDPzx7df-_fnW_SL8LAEVDwUCMvEXAe3W6gTzQgn99_nJ_hcd-gQA6fr-7RQ3AfHy8_4gBwX_0PPf_g_8GwUDCg_78hvr-RIH4gX7CgL-6PQS_gv78AoUHyH-7QH7__YEFfLczwn3F-sKARbkHPoI_fgME_D9_yr_DAkM3_sD2gIDCOji_QHuAPgSNOTz_yAALf8hHTs4E0AJSGFQAipzEAAaYDLuAAoEIMYFKDLnIursLc_2PssRzgT_Atj_DyK6EuD957D6BwAX1fYTogAAACUp2e8LABF_xMcVQgnYKp-O4RcgePYE2MrkIvie1A0S8vMdIRdHUwDh_Z32BujW_hY-JCAALRgtFzs4E0AJSG9QAiqPAhAAGoACAAAUvgAAUL0AAHQ-AADIPQAAcD0AAJo-AAAEPgAAJb8AADS-AACAuwAAoDwAAAy-AABMPgAAZD4AABS-AADIvQAADD4AADA9AABsPgAA7j4AAH8_AAAsvgAALD4AANg9AAB8vgAAcL0AAJo-AAA8vgAAND4AADQ-AAA0PgAA-L0AAJ6-AADgvAAAyD0AAJg9AABwvQAADL4AAHS-AAB8vgAAJL4AADS-AAA0PgAAPL4AAIi9AADYPQAAij4AAMi9AADYvQAA2r4AAPi9AAAwvQAAfD4AAOC8AADovQAAUL0AAFM_AABcvgAAuD0AAEA8AADovQAAqL0AAHC9AADYPSAAOBNACUh8UAEqjwIQARqAAgAATL4AAKA8AAAMvgAALb8AAKC8AAAwvQAAhj4AALi9AAA0vgAAJD4AAOg9AABEvgAAmL0AAES-AABwPQAAqL0AAKg9AAAHPwAAUD0AAJI-AAA8PgAAoDwAAEA8AABwvQAA4DwAALi9AAAQPQAAqD0AAKg9AAAQPQAADD4AAIA7AADIvQAAQDwAABA9AADovQAADD4AAMY-AACCvgAAiD0AANI-AAAwvQAAij4AAIC7AAAwPQAAhj4AAH-_AAC4PQAA4LwAAIg9AAAkPgAAiL0AAIo-AACovQAAgDsAAIg9AABAvAAA6D0AAIC7AAAMvgAAoLwAAFA9AAA8vgAA-D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=3kRUtztQYxE","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":540,"cheight":360,"cratio":1.5,"dups":["5418515506828639504"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1199861954"},"18425959305535622099":{"videoId":"18425959305535622099","docid":"34-8-11-Z1BC15689BCB96773","description":"In this lecture, Will Cunningham (Perimeters Institute) talks about applying computational geometry techniques to quantum gravity.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3442227/6a70647b710959444eaf763e9c0c150e/564x318_1"},"target":"_self","position":"10","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9g2J7X4oxps","linkTemplate":"/video/preview/18425959305535622099?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Computational Geometry for Physicists (2020)","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9g2J7X4oxps\",\"src\":\"serp\",\"rvb\":\"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-AD5__b6BgMAAQYD8fT1__4A4AH2_wv8AgD36v4HCAAAAA4G-wMCAAAA-Aj58fX-AQADDPX_BAAAABX4Av72AAAAEQ_8AxP-AgHwCfnxAgAAACAFCAoAAAAA-v0C_fz-AAD-D__uAQAAACAW_QMAAQAAIAAt9MHAOzgTQAlITlACKnMQABpgNwgAGwka5eAmHusI49wa_cQwCR69yv_rIAAUFszj_RUC2ussACnO-Rm2AAAACjrxSP0A7GPs9AsOH9T059vz8Th_5x_O9_4YApT8Gyg9xREC-BwOAB3n3PwNBrAwJywEIAAtM38xOzgTQAlIb1ACKq8GEAwaoAYAACRCAADYQQAAEEIAAABBAADAwQAAAMAAAMhBAAAUwgAAbEIAAKhBAABgQQAA-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_AAAMvgAAgj4AAOg9AAC4vQAAbD4AAMY-AAAUvgAAML0AACQ-AACoPQAAQDwAAOo-AAB_PwAAFL4AAOC8AACoPQAAQLwAALg9AADovQAADL4AAMg9AAAcPgAAmD0AAKC8AABUvgAA2L0AAKA8AACIPQAAgDsAAOi9AACqvgAAvr4AABC9AAD4vQAAlj4AADC9AABcvgAAQDwAABC9AADovQAAML0AAKq-AADIvQAAcL0AAL4-AAAQPQAAdL4AAKA8AAA_PwAAUL0AAII-AABEPgAAgLsAALi9AABwPQAAHD4gADgTQAlIfFABKo8CEAEagAIAALi9AAD4PQAAUD0AADm_AACIvQAAyL0AAJg9AADgvAAAgLsAAKY-AADoPQAA-L0AAPg9AABMvgAAEL0AAJi9AAAUvgAAIz8AADA9AAD4PQAAED0AADC9AAAUPgAA6L0AADC9AAAcPgAAoLwAAJg9AAAQvQAABD4AADA9AABQPQAA-L0AAIi9AACovQAABL4AAHA9AACGPgAAdL4AAKA8AABcPgAAED0AAJg9AACYPQAAMD0AAIi9AAB_vwAAND4AAMg9AACYPQAA6D0AAOi9AACWPgAAQLwAAEQ-AACAOwAAgDsAAJi9AABkvgAAbL4AAKg9AABQPQAAuL0AAMi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=9g2J7X4oxps","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18425959305535622099"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"504945267932936511":{"videoId":"504945267932936511","docid":"34-11-9-Z90EB2858A00E61C4","description":"(ETH): 0xCEC12Da3D582166afa8055137831404Ea7753FFd Ethereum Classic (ETC): 0x348E8b9C0e7d71c32fB2a70DcABCB890b979441c Litecoin (LTC): LLak2kfmtqoiQ5X4zhdFpwMvkDNPa4UhGA Dash (DSH)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3357692/8cb401103006f935e018fddf81512ff7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/10GRHQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dpt_Nohlsw0A","linkTemplate":"/video/preview/504945267932936511?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ASMR Math/Physics: Geometry/Kinematics: Area of a Triangle/Interpreting a Velocity-Time Graph","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=pt_Nohlsw0A\",\"src\":\"serp\",\"rvb\":\"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_gkC_QDw-_7_CQL_AQAE__j4_v4A5Q_8-Aj9AQAI-wkB-wEAAPsG9Pz_AAAA9w7-CPH_AQAEBPcIBAAAABMFBvn4AAAAGAb1-f4BAAD49vb9A_8AAAjtEAMAAAAADgD9-___AAD0DQYGAAAAABYVCPj_AAAAIAAt4HXMOzgTQAlITlACKoQCEAAa8AF5Bvv-syDe_wz39__2I9gCiRcO_ywX4QCqEegA9yXgAWIr8QL0-xgAORDwALQbCQD6Fsr_zvELADfGJP8kFQUAyAQGABTR7QIqHB7_L80G_oEY5_jYBAL__QLJAAkMzf7-4iwAGPPfAP7jxgAo-AL_AvgKBtvyDQf1EuoICxAYAOra1v3XAx4FC-ETC7rmEgD84eQBVS4UAjDlDP8G1fsKHuD__C860v8DG9wI298IB_zo5_f27QQC5QIVB_IC4_jN_BAD5O0O-_zo7vHzFBb93OcGAwbu3QQC6RQLBg0KDQ41-wkbAusO_QDmCCb08v8gAC3hPAk7OBNACUhhUAIqzwcQABrAB-6vzr4vNxO9KHswvcldXz2wQmC9eMnJvEleJ73jVVY9pr_NvJ_Woz0h8PY8RfacvOpBEb7hWsK9DFSMO5jdIz6BSZC9Q_T1vNlDS75DknY7KX-CvRUcTr6sTcg8NZcfO92P5byZeBE9GNmEvB1mnjzzlxG9s2qGPK9E4D06shI9AMl0vKYaDD2bkFa9mpa7O2mO7Ly35KK9JxHGPHcx7T2PACm9dpYRPMTBdD38HLy6DrGLu_wLlDvWBsC7r_8AvJTCHD7kk9-7eqMbPbHeCD0OG0C7eKevu4O-lL1T_RQ722POvFXlVj0Wm6A89z60OwNoij13RkC9SoLsOq35Ab5UpZI8IdHfOz7qvz3otPg8dgqPt67XBL4Nnz497EWZvCveyDx8l_e8pMNDPCieAz6srVi88eXPO8LaaD43cbI82M1bumNgPT0PLsg9ffnuPL4zdb09WoE8c1nWvPTtvr2VRuw97CDIOonbNz1Rd1Q9m48MPEUguL2nnCU9asK2PCGNLzyqR5o8vM9xPCpvFz5WGcy998MVu8dp47wQm0O9fNd7PMHkxjxS_rQ9zdmMvIIb6Tx6_9-9lDEfPEgIxbzaFxY8aRiEuxtnMz3bifK92apqu72pKL15UaU9ULpyuq6wqjxcfAA9qwbAuz35qrvzn7-8nRgOPAj-3Lzr46E8D1t-uzECj7wA0Iw9ciGkO11_ajq2R7Q9o16SuUTztT2WIm85Xsv5OuIAP73J3Yy8w6nmOn--Lb0hV6o8cI4EuypUBz6cu8I8KycoOIEKQj0P1RA8Yc0zuE0tmzyJcB09ODbdOJtw8TuARDi9tsNpOMui8LxbQh6-NwXjOTkEkz2PTKy8ipkbOkfm8T0J2DO8RupQuWQGqr2dm7Y88scbO46Vc73vu7O9V4-fOMjegTxADUk9qOZROMbyMz2J3CI9F372t-Jfvz1qS9291oU6uRyPjj1mvM09rWOFuMK0ubxMip-9BmB2OJXhyzrnAYc9MjGLNxRKpb3kh0q8FBkZOBdogr1Sq7k8ZbmWuJlmOj48HKM98AMuueexYT3tX349CEMguGOohL1mmS-9xz7JN8lJpz2EXkQ9Vv37OMZsKT3Vcgw9m5mJN1fCA7wACI48jOKaONRD9D1WYE09lItducRr6jpQ5KQ82dP9NnqXAb2rA2W9tWLmtyPchD35l749blE1t0MiyDylTdW9UAd3uEbkkD2BxjE95ZCPOESCjrz-hI487aK1uMpVC7xrPri8DqrQtdw5g71wggo9LaDDNyAAOBNACUhtUAEqcxAAGmAh3gAX9vrxwUI198zP4TP37A_YKskO_68A_-Iq-P07GevMF93__bIP8aIAAAAo8uEI9QDhd_LA7xvY8R203d8eGHD1DvHA4UcJgdrt_wYDISTRITUA9gHAJlID-k9LHA4gAC1EDRs7OBNACUhvUAIqrwYQDBqgBgAAIEEAAOBAAABoQgAAoMEAAJDBAACUQgAAoEEAAFDBAAA0wgAAgD8AALjBAACUQgAAMMIAAEBBAADAQQAAFEIAAKDBAABQwQAADEIAADDCAAAAQgAAmMEAAAzCAAAQQgAAIEEAAGhCAAAwwgAAIMEAALBBAABwQgAAEEEAALhBAAAAwAAAjkIAAJLCAACAQQAA6EEAACxCAABgQgAAiMEAADzCAADAwQAAYMIAAPBBAABgwQAAOEIAAMBAAAAMwgAAUEEAAMDAAAD4wQAAgMAAAHDCAABQQQAAYMIAAPjBAACOwgAAgMAAACBCAADAQQAAYMEAAJjBAACewgAAAEAAAIA_AAAAwQAAUMEAACDCAAAYwgAAYEEAAFDBAABsQgAAQMEAALZCAACYwQAABMIAAADAAABcwgAA0EEAAABCAADIwQAAOEIAAADCAABAwQAAiEIAAGhCAAAQwgAAcMIAAExCAADgwQAAYMIAAFBCAABAQQAAAAAAAIA_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-AAAwPQAAN78AAP6-AAAwPQAAqD0AAKi9AADIPQAAVD4AAIK-AADovQAA8j4AAFA9AAAsPgAAET8AAH8_AAD4vQAAnj4AAEA8AADIPQAAuL0AAHQ-AAAcvgAA-j4AAJo-AACePgAAqL0AABA9AABQPQAATD4AAEC8AACgvAAAhr4AAKq-AACOvgAANL4AAKC8AABsPgAATL4AAJ6-AAAcPgAADD4AAFy-AABQvQAAdL4AAKC8AABEvgAAZD4AAEw-AAA8PgAAcL0AAFs_AACovQAARD4AANi9AABEvgAAMD0AAEC8AAAQvSAAOBNACUh8UAEqjwIQARqAAgAAgr4AAFC9AABQvQAAH78AAJg9AACoPQAAfD4AAHC9AACIvQAAEL0AABC9AADYvQAAoLwAAFS-AACIPQAAQLwAAJg9AAAPPwAANL4AAK4-AAAwPQAAqD0AAKA8AAD4vQAAMD0AAPi9AAC4vQAA2D0AABy-AADgPAAAPD4AAPg9AAAEvgAAgLsAAI4-AAAMvgAAkj4AAJI-AACivgAAFD4AAJo-AABkvgAAgDsAANg9AAC4vQAA-L0AAH-_AADgvAAAbL4AAFw-AABMPgAA6D0AAEQ-AAAQPQAA6D0AAHA9AACovQAAuD0AAIA7AABwvQAAED0AAII-AADIPQAA4DwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=pt_Nohlsw0A","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["504945267932936511"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3872459024"},"3196849902831773937":{"videoId":"3196849902831773937","docid":"34-0-9-ZCF6207DE547C6C35","description":"Session PDF Link - https://vdnt.in/short?q=GVAAn 📐 Unlock the power of Geometry for NEET Physics! Join Shreyas Sir in this Class 11 session as he covers the essential geometrical concepts...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/399409/b4b8df7c1a6b681a62450f73523ba96d/564x318_1"},"target":"_self","position":"13","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLEWdZy_antc","linkTemplate":"/video/preview/3196849902831773937?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic Maths for Physics Geometry| NEET 2026 & 2027 | Class 11 | Shreyas Sir","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LEWdZy_antc\",\"src\":\"serp\",\"rvb\":\"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-_wEA7A4A-gUAAAALAO8B9v__AOgB-Pv5_gEABvILBgQAAAD-CPMH_AAAAAcGAfD8_QEADQL4EAIAAAATAxIA_gAAABYIAvX-AQAA-QH5-AP_AAAN_QQA_wAAAAkKBO8AAAAA_gn_AwAAAAAXCQsBAAAAACAALdgy1Ds4E0AJSE5QAipzEAAaYB4GAB8SFtq9Dw_p99zwMuLeGNcCzNv_9wYAChbZ4t4Y5sQtIf9E5AIKswAAABQR3hDwAOZlw8v5Cw3l99mf6hogf_X-0ifz7ua9CybwLBgaEuMUNADb7uYQC-O1TRs5CiAALSuPMTs4E0AJSG9QAiqvBhAMGqAGAABkQgAAcEEAAKhCAABAwAAAoMAAACBCAADQwQAAOMIAABjCAAAAwQAAAMIAAOBBAACYwgAAcMEAAKBCAACAPwAAEEIAAKBAAABAwAAAuMEAAADBAAAwQQAAnsIAABhCAABAQgAAQMIAAMDBAABIwgAAJMIAAFxCAAB4wgAAsEEAAMBAAAAAQQAAQMEAALhBAADYwQAAukIAABzCAADQwQAASEIAAGBBAAA4QgAAgMEAAGDBAADAwQAAoMEAAADAAAA0QgAAkMIAAEBAAAAowgAAoEEAAMBBAABwQQAAiEIAAATCAACgQAAAyMEAACBBAAC-QgAAMEIAANDBAADwwQAAoMEAAFxCAABAQAAAgMEAAODAAABgwQAA0EEAAAxCAAA4wgAAjEIAAIC_AADAwAAAcMEAALBBAACgwAAAMMEAAILCAADgQAAAgEEAAKpCAADgwAAAUEIAAFjCAAAgwQAAuEEAAADBAADAQQAAHEIAADDBAAB4wgAAkMEAAKjBAADIwQAAAEIAAIpCAAAwwgAAkMEAAARCAAAQQQAArsIAAHTCAACoQQAAoEEAABDBAABAwQAAQMEAAGDBAACgQAAAgMAAACDBAABUQgAA-MEAAOBAAAB4wgAAEMEAAATCAAAQwQAACMIAAMBAAACwwQAAcEIAACRCAAAoQgAA2MIAAIjBAAAMwgAAMMEAAHBBAABIQgAAtkIAABDBAAAAAAAAiMEAAADAAABAwgAAAEEAAFhCAAAYQgAAgMAAAADAAAAIQgAAGEIAAETCAAAsQgAAAAAAAMBAAAA4QgAAuEEAANBBAABEwgAAmEIAABDCAADgwAAA7MIAANhBAAD-QgAAkMEAAEBAAAAAwAAAQEIAACjCAADgwAAAYEIAACBCAACIQQAAAEIAABzCAADgwQAAwMAAADDCAACIQgAAQEAAAEDCAABMwgAA4EAAAGxCAAAQwgAAgEAAAIBAAAB4wgAAGEIAAHjCAAA0wgAAkkIAAHDBAAAAwQAAoEAAAIC_AABYQgAAYMEAAABBAADYQQAADEIAAIpCAABAwAAAosIgADgTQAlIdVABKo8CEAAagAIAAHS-AABcvgAAbD4AABC9AAAUPgAAkj4AABy-AAAHvwAA4DwAABC9AACgPAAAgDsAAPg9AACePgAAgDsAAAy-AACSPgAAgLsAAMg9AACmPgAAfz8AAFC9AABwPQAATD4AADS-AADovQAALD4AAEC8AAA8PgAAhj4AAKg9AAAMvgAAZL4AAEA8AADYPQAA6D0AAIA7AABwPQAAmr4AAEy-AADovQAA4LwAADw-AACAuwAAQDwAADA9AABsPgAAcD0AAEC8AACKvgAAqL0AAJi9AADSPgAAyD0AAHy-AACAuwAART8AAKA8AAAQPQAA6D0AAKi9AACAOwAAoDwAAFA9IAA4E0AJSHxQASqPAhABGoACAABUvgAAiD0AAOi9AAAdvwAA4LwAAIi9AACiPgAAqL0AAEA8AABAvAAAEL0AADy-AACovQAARL4AAFA9AABQvQAAML0AAA0_AAC4vQAAzj4AABA9AADovQAABL4AAOi9AAAwPQAABL4AAOg9AABQPQAAQDwAADA9AADIPQAAqD0AAFS-AAAQPQAAMD0AAPi9AADoPQAATD4AAJK-AAAcPgAARD4AAAy-AAA0PgAAiD0AAMi9AACAOwAAf78AAIi9AAA0vgAAcD0AAHA9AAAQPQAAqD0AAPi9AAAUPgAAcD0AADC9AAA8PgAA4LwAAHA9AACgvAAAQLwAABC9AAAwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=LEWdZy_antc","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3196849902831773937"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18412155554560252855":{"videoId":"18412155554560252855","docid":"34-4-7-ZB8842E915A140481","description":"Concept ka Funda Hii.. Everyone I am Prince from Patna. This channel is for basic understanding of Physics and basic mathematics. https://t.me/Conceptkafund Watch Part- 1 Geometry Introduction...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3323915/c2ab78a1f3999d0bba024d8a403e7b1d/564x318_1"},"target":"_self","position":"14","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCLRfkgjofis","linkTemplate":"/video/preview/18412155554560252855?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lines and angles (Part-2) Basic Geometry used in Physics #geometry","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CLRfkgjofis\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA8wP2AgID_wEAA__4-f7-AOYC8fcC_QIAAvMEDf0AAAD-__wG9gAAAPYE-gIC_wAADQ39_vgAAAAKAAf8_QAAAAz_Bfr_AQAA9fv-_AMAAAAD9AD__wAAAP0G-PoCAAAA9RD-_gAAAAAP_gkEAAAAACAALcSf4zs4E0AJSE5QAipzEAAaYD0LAB4YBr7qIRHm5eb8FQC5DvAMs97_9x4ABR7GEQgf3rzsJgA6tAEfrwAAACAe7R35AONm3NRTFhvd-dq_3REgfwEFsB8cEPWt-y0-URsD-S8sIAAJ5vIIHPf1LiIf7CAALfkXKDs4E0AJSG9QAiqvBhAMGqAGAACYQQAAQMEAADRCAABAQQAAMMEAAAhCAAAAQAAAdMIAAKDAAABQwgAAhEIAALjBAAAowgAAgMEAABTCAABAwQAAkEEAAMDAAACKwgAAEEEAAHhCAADSwgAAIEEAACxCAADgQAAAoEEAAIjCAAAIQgAAFEIAAJRCAAAAQQAAHEIAACBBAACwwQAALMIAAFDCAAD4QQAABEIAAPBBAABkwgAAmMEAABDBAABYQgAAAEEAANBBAACQwQAA2EEAAADAAACsQgAA-EEAAODBAADYwQAAREIAAABAAAAIQgAAHEIAAOjBAABQwgAAAEEAAEBBAADYQQAAkMEAAGDBAABAQAAAZEIAAIBAAACAQQAAIMEAAGTCAADAwQAAuEEAACRCAABwQQAAmEEAAHBBAADQwgAAWMIAAADBAAAgQQAA4MEAACjCAABkQgAAkkIAALhBAADgwAAAEEEAAJhBAABwQQAAuEEAAMDBAACQwQAAEEIAACTCAACowgAAiEEAAJLCAABAwgAAhEIAADRCAACwQQAAAAAAAKhBAAD4QQAAqMEAAGzCAAAIQgAAEMEAAMDAAAAAQAAAYEIAAIZCAAAswgAAKMIAAIC_AACAPwAATMIAAFBCAABIwgAAyMEAAEjCAAAwwgAAdMIAAADAAADgwQAAYEIAABRCAADgwQAAoMEAAOBAAAC4wQAAZEIAANDBAADUwgAASEIAAJjBAABYQgAAAAAAANjBAAAUwgAAgMEAAPjBAAAgQQAAsMIAAFBBAADwQQAAgEEAALDBAAAwQgAASEIAADBCAACswgAAyMEAAKjBAACgwAAAXMIAADDBAADowQAAoMEAAKBCAAAUQgAAdMIAAGxCAAAQwQAATEIAAIhBAABAwQAABEIAAKBBAAAQwQAAwMAAAGzCAACSQgAAVMIAAOBAAADgQAAAQEEAALjBAABAwgAAMEIAADRCAABwwQAARMIAAGjCAACIQQAATEIAALzCAABgwQAAyEIAAJjBAADQwQAAYMEAAIDCAAAYQgAAQEAAAHDBAAAAQQAAsEEAAKDBAABcwgAAiMEgADgTQAlIdVABKo8CEAAagAIAAFy-AADivgAABL4AAKg9AADKPgAAvj4AAJi9AABbvwAAHL4AAIC7AAB8vgAAgr4AACy-AAC-PgAAZL4AABS-AACOPgAAEL0AAIo-AAAHPwAAfz8AAAS-AACCPgAAJL4AAII-AAB8PgAAqD0AAAy-AAC2PgAAZD4AAJI-AACovQAAHL4AAEy-AADIvQAAgLsAAFy-AABUvgAA7r4AADC9AADYvQAA4LwAAIo-AABMvgAAqL0AANi9AAAcPgAA2D0AAKi9AABEvgAAgr4AAK6-AACOPgAAED0AAIA7AABAPAAAfT8AAFy-AACoPQAAUL0AAOi9AABQvQAAEL0AABQ-IAA4E0AJSHxQASqPAhABGoACAAA8vgAABL4AAES-AAAnvwAAED0AADS-AABUPgAAPL4AAMi9AABwPQAAQLwAAJi9AAAkvgAAJL4AAEC8AACIvQAAcL0AAAE_AAAcvgAAlj4AABw-AAAwvQAAHL4AADA9AABwPQAAZL4AAKg9AADgPAAAuD0AAGw-AAA8PgAAuD0AAJ6-AABAvAAAoDwAAKC8AADoPQAAPD4AALK-AAAUPgAAmj4AANi9AAD4PQAALD4AANg9AABQvQAAf78AANg9AACgPAAAcL0AAJg9AABQvQAAqD0AABy-AACIPQAA2D0AAKC8AACWPgAAqL0AAIC7AACgvAAAJD4AAIi9AAC4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=CLRfkgjofis","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18412155554560252855"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8502639473403565463":{"videoId":"8502639473403565463","docid":"34-10-11-Z8234433F419407BC","description":"Lecture at the 2011 Arnold Sommerfeld School \"Algebraic Geometry for String Theorists\" held at LMU Munich, Oct10-14, 2011 Event website: http://www.theorie.physik.uni-muenche... Enjoy!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/402909/d767c7ccdc172a9e11b1402e4c46934b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/tUu7gwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqfSXPSWmiT0","linkTemplate":"/video/preview/8502639473403565463?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Ugo Bruzzo - Algebraic geometry for physicists, part 3","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qfSXPSWmiT0\",\"src\":\"serp\",\"rvb\":\"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_E7QrggQkAYAEKyqLARABGniB9Pz2_gH_APf8-gcBBv0BB_8A7_f__wDgDvUEA_wCAPfs_gcHAAAAAwj5-_cAAADq9_78_gEAAA0G9QMEAAAACQL3AP0AAAARAPzw_wEAAPz78vIBAAAACe0F__8AAAAGBfv2_v8AAAkXBv4AAAAAFwkLAQAAAAAgAC2FQdE7OBNACUhOUAIqhAIQABrwAX8QMADi7coBzBj2AfME5QHc7iQAFDQCALbn8f-fFOX_5eIQANLj4AEC-fsAiRLtARLbygDd_sb_MAQVAEfdGwDsEw8BUf0JADfrJQA03tv_BRsZ_vLSKv8Z8MH_CQzN_izHQf4TIf8CJvTNAxrjMAP7HCn_IewUAvXbHAUGAR0DBR3KAP8kFfkM3RD36Sv7BwvH6gUDMx0B1zDzAtvn-_oH8Pz4QAv2_SLx9gbsJvEE1toFASP4CgPpShr2Hv_SA9beCvXU4wD3JLkNAQsN9fjxMev1_N_yC_sTAQ8B7gUI9vgGEgQj9f4DFOsE3Qn06yAALeBpCTs4E0AJSGFQAirPBxAAGsAHhxbhvrg-7Dw5Qia9e8KNPZav7DuUh4W86Gw8vWh2nb1-gwC9oOJoPguO_Tow1hq6vSgwvb-iNry854A8g1C2PhrytLyvVUw8dXT8vS8Tmj0LAhC9tKwbviuwhj1i-AO9xo0WPcLwtjvkG-U8oOLYPWE8nrzFT4i8W68uPTda6Tv45129Uc2mPQAbEL3Whem8_M2KvUcC8Lu6EJA8dzHtPY8AKb12lhE8PAThOpicQTvo4SG7GH0lvkmhrLwKL0G8z-G1OlhKID3aXxG8SUcevK5-sLhZuPY86P5FPBQxFj0avf27D3uGPey5kT05oSu9X4ySPU4RO7xxwb68seFJvi6S9jxPCJ08GyqbPVidRj3fTC-7rvQqvm3F3j2K1Au7t7KJvW7igbr2kYC8MGOqPaGRmTwmaaM8IJwqPUiqzjrCbP67bV4LPYlNej0QYiE7pNyiPJk6mTyXooW7QVliPe0bDj0XlVy7WeWdvQLBV72jhRc8hrqJPQak2DvX1Qu8LbgaPS2ZvroyHEA6j-AWPlt4Dr4D5w68LvIdvG8umb3Ny3670cffOzPdqzyXQwG8FZBWPb9elr3dQ8K7hAF6PfMckbwL--o5FvVuPDCQFr2BXGI7Qo0MPXScNj2XgRa8KHJSvXQwMT0-qf67aagRvRiu8zx8HSE8KcSrOyfrob1sBno7bVhTPdXtRzwy59e6jb-6OWFaLzxoj5s7Iu01PHW-6bwOYYS7PbrBvVG5Dzxbm4S6NOEtvcp0Bbw9tKE5PL3yPUrIUb1XwY45O3UjvMCBZD1i4i25JDKCve8bH7x6Uve3g-FXPYbcsbxMshS5_LNVvXc9sr2FGzC4f4zUPCTC9TwzH7y5nfvGPHXhDTxkEpi5bd1SvWNcszt5B4K5lw2hvEj1wjz0CJq46_gUPWmVND2hFbI4ox4nvUYcvLyEj6m3D1ImvGDuzbpCWCc4p39EPbzSvT0nKvs2JEbPPG5chb1JXJ84iuj3PT-QrD2C7mY4r-FTvdoB1z3LTT83TytbPTsnrD08TIS4sRODPLaxs70Vqek4FUcvPer7Wj2eNvS4yuEDvhDXHjyX_U430GE-vD5WVb0teEa4fSB5PbAiAjzPt603TA2OvfkMzTyLHdw3raf2PbPqmLx7Ozq5pVyrPLJPi71FGEe41TuBPO89h73Nk783UbgjPWEtozxnjCq2hhAhPVx3073e85u3Iv_sPTUpBT7zflu4U1N8vfDzZD0mccO3rW3qvRQ7vzxv0uM3OpDVvYDpvry1voa4IAA4E0AJSG1QASpzEAAaYCjcAA8JEtofDxjwydPKL-q3C84RjuP_6_b_GDWwEA3r580KFAAd6B_pnQAAACMp8Qz9APt_18o6LAW8AQ-PGA0cZMgf1sm17Si0xUFSF9sbESEqNgD3BKD9VefAFyQgCSAALdy-Ejs4E0AJSG9QAiqvBhAMGqAGAABgQgAAEMEAAIZCAABQwgAA4EAAAEDAAAC-QgAA4MAAAIC_AAC4wQAAcEEAAIDAAABQQQAA8EEAABhCAABcwgAAAEIAAKjBAACQQQAA-MEAAKDBAADIwQAAOMIAAJBCAACYwQAAgD8AAHzCAAAgwQAANEIAAI5CAAAEwgAAEMEAAATCAAAIQgAAQMIAAIBAAAAAwgAAAMAAAJDBAAAkQgAAkMEAAIC_AAAYQgAAmMEAAGBCAAA0wgAAmMEAAOjBAAAcQgAAbEIAAADAAAAwQQAAGMIAAHhCAACAQAAA2MEAALLCAACQQQAAgEAAAGxCAACYQQAAmMEAAFTCAABQwQAAEMEAAMDCAAAQQQAAjsIAADBBAAAQQQAAAEEAAChCAACgwAAAcEIAAOjBAABYwgAAMMIAADDBAAAQQQAAIEEAAJ7CAADAQQAA4MAAAKjBAADgQQAAikIAAGDCAAAgwQAACEIAACBBAACgwQAAcEEAAKhBAADAwAAA-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-AACgvAAA0j4AAHC9AAAXvwAAdL4AACw-AADovQAAiL0AAFw-AACiPgAADL4AAEy-AAB8PgAA4DwAACw-AAAZPwAAfz8AANi9AACIvQAA-D0AAEC8AACYvQAAiD0AAIq-AADgPAAADD4AAIC7AABcvgAAXL4AANg9AADIvQAANL4AAFC9AACuvgAAur4AAEy-AACivgAAhj4AACw-AACYvQAA4LwAADA9AADgPAAAUD0AAKC8AACKvgAAgr4AAIi9AABEPgAAVD4AAIa-AACgPAAAVz8AAHS-AAAMPgAAsj4AANi9AAD4PQAAcD0AAIg9IAA4E0AJSHxQASqPAhABGoACAADIvQAAED0AAJi9AABRvwAAJL4AAIC7AADoPQAAHL4AACy-AACqPgAA6D0AAGy-AADgvAAAZL4AAIi9AADIvQAAyL0AADM_AACgvAAAXD4AAJg9AAA8vgAA2D0AALi9AADgvAAAqD0AAKi9AADoPQAAJD4AAFA9AADIPQAAgLsAAAS-AABUvgAAQLwAAKC8AAA8PgAAnj4AAFy-AABwvQAArj4AAIC7AAAQPQAAgLsAAOC8AAA0PgAAf78AAIA7AABAPAAAFD4AACw-AABUvgAAkj4AAKC8AABAPAAAgDsAAKC8AABcPgAADL4AAES-AAAkPgAALD4AAEC8AACgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=qfSXPSWmiT0","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":580,"cheight":480,"cratio":1.20833,"dups":["8502639473403565463"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"416629577"},"8072511370917982106":{"videoId":"8072511370917982106","docid":"34-2-14-ZE68623627B7CE954","description":"Full Playlist: • Playlist Lecture 1: Sheaves & cohomology 2011 Arnold Sommerfeld School Algebraic Geometry for String Theorists Date: October 2011 (video fixed)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3952324/f054cb9a7a36f141a215f08ab47f3887/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zFlMfQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQTRXayd5lbI","linkTemplate":"/video/preview/8072511370917982106?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Ugo Bruzzo 1/3 [Mini-Course: Algebraic Geometry For Physicists]","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QTRXayd5lbI\",\"src\":\"serp\",\"rvb\":\"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_E_4mggQkAYAEKyqLARABGniB_Pf7AAABAPP19QIGA_8BBwAA7_f__wDkAPEJAP0BAA_1_AgHAQAAAfz4__8AAAD9-PcC-_4AAA4O_f74AAAADfn4_P4AAAAWCAL1_gEAAPLz-PUCAAAAGOsE-v8AAAAADvnxAAAAAAYMBvwAAAAAFwkLAQAAAAAgAC0GbtQ7OBNACUhOUAIqhAIQABrwAX8ICAGnBc797zHUAOgd-gHFHhMACDDxAN8O5wC5H-4ABSHgAM7cyv8AIfP_ohIMATPV0P_r4PsAO9z8ADnY6QDqHhoALujtAD4wAf8J0uoB7x8eANveIv8Y1tIDHy3j_xPpKP0fD_ICCuq4CToNLQDSCiQFJMsMAe7MGwPyBSYD_Obe_eAiE__k6A4B4g8SCBAM_QX5GiMA9izyBOkXAvsL3fr6Owv3_R_e4AD0BOP328z6Bxju6wjcFQ0OCPzfBuXhHv_29g3v5Nvx_wwGEP7pHAkC0vwABOYZBQEk5Q77-AHvD_EM_PwMHe72CgPu-SAALY27Ezs4E0AJSGFQAirPBxAAGsAHOSv6vhkDDLw277S674zWPXoIOT2KyRu9msydvOtdsrxcwxQ8_yPTPcFSXTyaC5w8twz4vY34xLwjMic9xVWFPlQwb72bfyq8dXT8vS8Tmj0LAhC99aFrvoTTBz10NcO7XQJLvBOVEj1EKAI8q02iPVTcHb0JdhK9fGL9Pfd-mbxXi5m8iUf9vJOdqL1rcBG9EBcKvb7_qryZAuM6IOsJPsVt2byqmTW8DB6GPd-qKTvk7RA87GjcvS-9AbwZWAU7ZccmPqX1Fz1uBcG7yXEMPZ9_ELy6TI08EXaVvQ8JX7ykJFq8qMoyPX8U9TyJPG68--b-PU5jHLyhEhm8s33ovVJMfDo1iva7ldxcPQZCNz1wtsg5rvQqvm3F3j2K1Au7fGmlvdF0lj1r2Eq8APKEPYkrAj34Ky48QX52PfIfOTudCCy8iyE0PahRKD3fYYe7_R92PSL4RD3L8nW8a4OuvMlILDzexou8jZuavXOVOD3s-4u88TyCvNBdt7wy1YI8Po2gPOYJgDt-9Je732bGPTm1872HHxg8CkKDvWy_u70Mg-g76xPKPAnmQzxuQqu8V1gVPYtUeL2SEN27n24FvLnBdTxqKBw8oCV-vKiljr04SIi8XE8bvLszCT09wh882L_GvMTeVTx_8TG8x6hBvXkL_7wH63O4bAHnuzBH770_mqC6Rg6MPcWUA738MW87Sh_jO9yhh7keOrk6slvVPGuhP7yB9GK7segsvWYdxLyOW4q7C3g-vRxYMzyzY7u5yjT6PRN7zbxZhmE4cPcoPVQKsDwjTiM5qSiYvf3xAz3LRX04rFOlPB5Yabx_dqE5JTIdvZUQjL3SI6k4unaYPIophzzwVNm60OErPV9iJz0m7Ly5EirdvGd7pL16nlW56BoBPSu9urv8g5e5kp4YPfrdCj1keAA4sq-GvChPNL3tkgI6JjfMOpH-qLyJCN45gr-EPT6ITj0Oa0c4EaBQPbpJnL2osHk50SWnPc7ZZz3-jyQ5owtFvHZPkz32LUc4q6yCPfjGEDy52qQ4EKyvPdvD3r3Inzy42k7lPGQsiTx8mpi4yXl6veKBFjxZzWU49-8wvNtHGD1R3w05oM5rPc0muLuuq703JxiZveia7rxmJQU5glVFPnTINz3J3IS5hFwuvXySYDwDwr23poaRPCNjWr30foo3-3kuPIP_iD2YyaA17AO9O3zUD74X-ty4Iv_sPTUpBT7zflu4PCn6u1UqbT3gMo24MQdBvVYeDTzX3602VtYWvjFWkL31hKC4IAA4E0AJSG1QASpzEAAaYC3UABUIMdIpJAjx1-vjKua2_eAvnfT_2wb_IU3SIzDk_NQRFQAF1_wDngAAACQN5RIHAPp_wsUpLefgCvCiChQtaNkW1Lq98D6vyRsWJ9obHSQdSgAB8ZgES-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-MEAACBBAABAwQAAsMIAACTCAADIQQAAwMEAAARCAABwwQAAwMAAAEDCAAC4wQAA2EEAAIRCAAAcQgAAIEIAAODBAABAQgAAEMIAAIC_AAAIwgAAgL8AAIjBAADYQQAAFEIAAExCAACAQAAANMIAAIjBAAAAwQAAfEIAAJDBAABIwgAAQMAAAIBAAABQwQAAsMEAAAzCAACAPwAALMIAAMBBAAAUQgAAhMIAAADBAACkwgAAVMIgADgTQAlIdVABKo8CEAAagAIAAAS-AAAUPgAAZD4AAFw-AABAvAAAhj4AAIC7AAABvwAA6L0AAEw-AADIvQAAEL0AAEQ-AABUPgAAHL4AABy-AAAsPgAAoLwAADw-AAAJPwAAfz8AAJi9AAAEvgAA6D0AAKA8AAAcvgAAFD4AACS-AABAPAAAhj4AADC9AAA0vgAAJL4AADw-AACAOwAALL4AAIC7AACOvgAAlr4AAGy-AAB0vgAAPD4AAGw-AAAUvgAA4LwAAKC8AAAkPgAADD4AABy-AACevgAA6L0AAIi9AACWPgAAND4AACy-AABAvAAAUT8AAIq-AAD4PQAAHD4AADC9AAAEPgAAgLsAADC9IAA4E0AJSHxQASqPAhABGoACAACgvAAAqD0AAKC8AABLvwAAfL4AADA9AADYPQAAQLwAAFS-AACWPgAAiD0AALK-AAAwvQAAgr4AALi9AADIvQAABL4AADs_AADgvAAABD4AABA9AACCvgAAiD0AAKi9AACovQAAMD0AAPi9AADYPQAABD4AAKA8AADoPQAA4LwAADy-AACovQAAMD0AAKi9AAB0PgAAVD4AAJa-AACAuwAAbD4AAIA7AACgPAAAoDwAABS-AABUPgAAf78AAIg9AACgvAAAiD0AAOg9AABEvgAAdD4AAEA8AAAEPgAAQLwAAIA7AACmPgAA-L0AAOi9AAAUPgAA-D0AADC9AADgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=QTRXayd5lbI","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":358,"cratio":1.7877,"dups":["8072511370917982106"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2004512672"},"12828801864153958507":{"videoId":"12828801864153958507","docid":"34-1-1-Z2DAC0D9705F1E7DE","description":"Lecture at the 2011 Arnold Sommerfeld School \"Algebraic Geometry for String Theorists\" held at LMU Munich, Oct10-14, 2011 Event website: http://www.theorie.physik.uni-muenche... Enjoy!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3846640/5923fc93881d044e91b3716619305a70/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/f_9HhAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DySixt8Nv6L4","linkTemplate":"/video/preview/12828801864153958507?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Ugo Bruzzo - Algebraic geometry for physicists, part 2","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ySixt8Nv6L4\",\"src\":\"serp\",\"rvb\":\"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-_ff9_wIA-vT_AgQF_gEAA__4-P7-AOUA8QkA_QEA-O3_BgcAAAADCPn7-AAAAPH8_QADAAAAFAP7BgQAAAAPA_7__AAAABEA_PD_AQAA_Pvz8gEAAAAI7gT__wAAAAUF-_b-_wAACBYG_gAAAAAWCQoBAAAAACAALQpv2Ts4E0AJSE5QAiqEAhAAGvABfwgIAc37zv_gJPAAHQjq_9cZJQAIMPEAw8fbA7wD4QD2DPsA7tvR_ygc8wG2E-3_Ed3OAOHlCABADgX_QuAaAAMoCAFWIvUBOBAXAjft8f-8Kgr97OsbAgTq2gAEJNr-NdYa_hEf_wIk9dEDD_4-Ae0KGQYn7QAB1_oj_vEZIAH3-Mb-DSobAgPV__n0ReUBD-rhAQMwGwH-EusA7QAH-f7fF_wg-_sJIPPgBQEXAfHrzgcBGPX9BfwlGwoI_N8G5gMWAPTlCf714_b9NhoV_vIu7Pbz_vj-7BD1AiX4BwD_6AoJCQvg_wUr8Af69_nvIAAtjbsTOzgTQAlIYVACKs8HEAAawAeS6O2-lGdBuc1JXr2cau09fm90u0kJBr2TXFm9ledLvRG-vTrakB8-pgUzO-etmTqM4pu95vQrvMXjAj1yp6w-LSVrveFIe7x1dPy9LxOaPQsCEL0R_D--f2B4PRBEErz874I98W_GPIWg2TxUUwI-3Es6vXbMELzO-hQ9qZUTvZQ5Ub3cahk69RFYvRN8WL2t5SS9fIEZvQmlrztsz8w9QjofvHeBVDtCwVY914QZvdVR4bvXfqe9C_1dvHdLcry7L7I9Fjz7PKUFGrtwRBK9BBt8vJ1IED0TUSO8wYYQvFC04bwPe4Y97LmRPTmhK70atZw9MfC3vDDhJzs8awe-NYQ-PGgN-bw-6r896LT4PHYKj7eu9Cq-bcXePYrUC7uOm1C9nHdSvI7M4btkk9w9bv1PPGcxzDzQgJU9Q5CDPMF9kbttXgs9iU16PRBiITv8sgo9csgAvEFTxLvPPpA9XPr8PCofwryAa8K9PyoPvSyLeDwtj5o8hnvAPD0SqzvzvVA9ImsRPNZufTuP4BY-W3gOvgPnDrw_wlU8qlN0vRoFd7wtS4k7IR2BO9h4erwVkFY9v16Wvd1DwrtAjkE8LETHvLMSTrxhtu48ZNrtvAqCx7tUJT068FXGPCkT6booclK9dDAxPT6p_rtpqBG9GK7zPHwdITzAh4w9_4SZvYQPY7towIo9tcCDPBQmiDvYq368hjerPFy9tzsi7TU8db7pvA5hhLsi-IS9h-sDPMnzDbtoz-W8djCHPH6fGrs8vfI9SshRvVfBjjk2as-7ez6UPKLPcTle-Fy9jYK7PKbBWje19I08cJjovGug4jf8s1W9dz2yvYUbMLgc1g89WmKlPHBd5bn1FBk92A4pO4Bk0ri0ETm9NygLva1-EDmsvgS9Up8fPUmRvDmFcHY9UXZJPWZXhDgXZwy90zRDvUXmkbjc9bE6zPqDPKt5MTgXAxU9v3x3PT0HBznAlYm6RGN3vV7cFbiK6Pc9P5CsPYLuZjgIAy-9FLaqPT_oJTf-P5M9m85pPWW2dDeHRVY902Wmvb8o9DbhanM9Zz1BPWX26bhr8em9edYkvO4vYDYUD168M54SvRyWN7eUYSY95kFVPHmSljYmZme9TZzBPPI_CTjB4ys-3KVovAeJdLmED6U7a-1CvQaOk7i77YK8l-ahvfo4_7f01so8fJ7_PMjWFbdJ9448rVDEvXOc8rgi_-w9NSkFPvN-W7h3xo29qykEPZ_Tiriyq4-9fLr6PHOUNDfY4HO9zPx0vcwWjbggADgTQAlIbVABKnMQABpgJM8ABQUm3iQfDvPH28Mb4Kob7Qub9P_WDP8YQMYHKdPmzQETABXaIfacAAAAFzUAGBAAAX_Oyi1CAc_4CYUQIg53zCjS0sjuJ7C_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-AABEPgAAXD4AAFC9AACmPgAAyL0AAA2_AABkvgAAZD4AAOC8AAC4vQAAJD4AAJY-AAAsvgAAdL4AAJ4-AACAuwAAbD4AABM_AAB_PwAADL4AAPi9AAD4PQAAgDsAAKC8AAAwPQAAfL4AACw-AABMPgAAcL0AAGS-AAA0vgAADD4AAKC8AAAcvgAAyL0AAIK-AABsvgAAVL4AAJK-AAAkPgAABD4AAHC9AABQvQAAQLwAAMg9AABwPQAAyL0AAIq-AABEvgAAgDsAAGQ-AAAsPgAALL4AAIA7AAA3PwAARL4AAOg9AABcPgAAqL0AAJg9AABQPQAA2D0gADgTQAlIfFABKo8CEAEagAIAAFC9AAAUPgAAgDsAAEe_AAAsvgAAoDwAAOg9AAAUvgAADL4AALo-AACIPQAAgr4AAIA7AABEvgAAqL0AANi9AAD4vQAAOT8AAFC9AAA0PgAAHD4AAI6-AADoPQAA2L0AAKC8AABQPQAA6L0AAAw-AADoPQAA2D0AAJg9AACAuwAAFL4AABy-AAAQvQAAEL0AACw-AABsPgAATL4AAKi9AACaPgAAQLwAALg9AACAOwAAgLsAADw-AAB_vwAAmD0AAIA7AAAkPgAADD4AAPi9AACOPgAAQDwAADC9AABAPAAA4LwAAFQ-AADovQAAFL4AABQ-AAAMPgAAQDwAADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ySixt8Nv6L4","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":580,"cheight":480,"cratio":1.20833,"dups":["12828801864153958507"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1442558761"},"2523817394050480226":{"videoId":"2523817394050480226","docid":"34-9-8-Z25FEDFF9E6CF9D92","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/925454/1849e834ac8087f4c653d13b4ddaa030/564x318_1"},"target":"_self","position":"18","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdNvIS9-4o9A","linkTemplate":"/video/preview/2523817394050480226?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"basic coordinate geometry (physics)","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dNvIS9-4o9A\",\"src\":\"serp\",\"rvb\":\"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_E7gTggQkAYAEKyqLARABGniB_AkA_fsFAPEC_P_6AgABAAP_-Pn-_gDkAff_CfwCAADqBwEDAAAA_gf0B_wAAADzA_j6_AAAAAwG9QMDAAAAEQQF-fgAAAAK__v4_wEAAP37_fcCAAAAA_v9AwAAAAD9Bvj6AgAAAPUQ_v4AAAAAFgkKAQAAAAAgAC2jC-E7OBNACUhOUAIqcxAAGmA5CwAa-_zH-jb17O3d9kwN8v_kD8fA_-UK_-0sCBUcCO7H5-7_NND-FLAAAAA0D8sZGAAdXe7lFkIYxwvfxdYLCX8rFbth_ecg-OokLCrnCNgKKyAA2wQQ6ScRAz0YDQYgAC1lRzE7OBNACUhvUAIqrwYQDBqgBgAAIEIAAAAAAADGQgAAksIAAABBAACwQQAA1kIAAJDBAACAwQAAiMEAAEBAAAAQQQAAaMIAAADBAAAIQgAA8MEAABRCAABEwgAALEIAABzCAACIwQAALMIAAHjCAADgQAAAAEAAAJhBAADAQAAAgEEAAKhBAACGQgAAAAAAABRCAACYwgAA4MAAAADDAAAgwQAAQEAAADBCAADAQAAAUEIAAJjBAAAUQgAAwEEAAJBBAAAcQgAAGMIAAAAAAAC4QQAAJEIAAAxCAACEwgAAGMIAAHTCAADIQQAAmEEAAHBBAACUwgAA-MEAACRCAAAAQgAAHEIAAAzCAACewgAAoMAAAAAAAACswgAAGMIAAILCAAA8wgAAmMEAAFRCAACwQQAAQMIAAHBCAADYwQAAqMEAACjCAADowQAAuEEAAMBAAABgwgAApkIAAIC_AAD4QQAA-EEAAFBBAADQwQAAmMEAACBCAADgwAAAIEIAADxCAAAIwgAAoEAAADhCAAAQwgAAiMEAAHDCAACaQgAAGEIAAGTCAAAAAAAAQMAAACTCAACcwgAAFEIAAEDAAACgQAAAoMAAAHBBAAAQQgAAAMEAAPjBAABwQgAAwMAAABhCAACYQQAAyMEAAFDCAABwwQAA4MEAAMjBAADoQQAAPMIAACDCAACAQAAADEIAAPBBAAAQwgAASEIAACBBAADAwQAABMIAAHhCAADYQQAA8EEAADBBAABAwAAAYMIAACjCAABAwQAAoEEAAEDAAAB8wgAA4MAAACxCAACAQAAAqMEAAMBAAADAwAAAYMEAAMBBAACAQgAAyMEAAIBAAACgQAAAkMIAAIC_AABAwgAAgMAAAK7CAAA0QgAAgD8AAMBAAABAwAAAmEEAAIA_AAC-QgAAoEIAAFDBAAAAQQAAMMEAAPDBAAAgwgAAOMIAAHDBAACAvwAAUMEAAGDCAAA0QgAApsIAABTCAABAwQAA4MAAAIRCAADIQQAAeMIAAATCAABAQQAAQEIAAIhBAABAwQAA6EEAACDBAADIQQAAfEIAADxCAABwQQAARMIAACzCIAA4E0AJSHVQASqPAhAAGoACAAAMvgAAmL0AADQ-AABUPgAAnj4AAN4-AACgvAAAO78AAHS-AADmPgAA6D0AAMg9AABwPQAAmD0AAHy-AACIvQAAnj4AAFA9AAAQPQAAAT8AAG0_AACIvQAA4LwAAJY-AACgPAAAcL0AABQ-AACOvgAAij4AAKY-AACYPQAAir4AALK-AABMPgAAED0AAES-AAA8vgAAzr4AAHS-AACIvQAAQLwAAJa-AACKPgAAyL0AABC9AADgPAAAir4AAOC8AACAOwAAdL4AABC9AADgvAAABD4AADQ-AABcvgAAmL0AAH8_AABkvgAA2L0AAIg9AAAkvgAAEL0AAKA8AADYvSAAOBNACUh8UAEqjwIQARqAAgAA2L0AAJi9AAA0vgAAP78AABC9AAAQvQAADD4AAAy-AABUvgAAHD4AAEA8AABUvgAAML0AANi9AAAwPQAABL4AAMi9AAANPwAA-L0AAHw-AACAuwAAEL0AAKC8AACYvQAAcD0AABy-AAC4vQAAiL0AAEw-AACoPQAAmD0AAHA9AAD4vQAAiL0AAOA8AAAEvgAARD4AAHw-AABMvgAA4LwAAFQ-AACAuwAAgDsAAFA9AADovQAAmD0AAH-_AAAEPgAAcD0AADA9AAAkPgAAVL4AAII-AACgvAAAcL0AAOA8AADgPAAA2D0AABC9AACIvQAAqD0AAPg9AACYvQAAiL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=dNvIS9-4o9A","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2523817394050480226"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17301791900016948069":{"videoId":"17301791900016948069","docid":"34-2-9-Z675ADB20209BF352","description":"Lecture 2: Varieties & bundles Playlist: • Playlist 2011 Arnold Sommerfeld School Algebraic Geometry for String Theorists Date: October 2011 Video taken from: http://www.theorie.physik.uni-muenche...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3952324/f054cb9a7a36f141a215f08ab47f3887/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/3sBeAwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9HqHLQBuMPY","linkTemplate":"/video/preview/17301791900016948069?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Ugo Bruzzo 2/3 [Mini-Course: Algebraic Geometry For Physicists]","related_orig_text":"GeometryForPhysicists","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"GeometryForPhysicists\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9HqHLQBuMPY\",\"src\":\"serp\",\"rvb\":\"EqsDChQxNDg3MDkyOTY0MDk1Nzk5MDE3OAoUMTA2NjE1NTExNDY1MjA4NTMwMDIKEjM3NTI4MDAyODk0NTQ3Mzk5MAoUMTM4NzcxMDM3NTI4MDQ2MzU3NDEKFDEwNzA5MDczMTg2NDUxNjU5NTk0ChMyODEzMTk1ODY4NDk4NTAzMzcyChQxNDg5MzY1NDQ4Njg0OTI4NTIzNAoTODA0NTUzOTUxNTY4MTUxMjQ5NwoTNTQxODUxNTUwNjgyODYzOTUwNAoUMTg0MjU5NTkzMDU1MzU2MjIwOTkKEjUwNDk0NTI2NzkzMjkzNjUxMQoTMzE5Njg0OTkwMjgzMTc3MzkzNwoUMTg0MTIxNTU1NTQ1NjAyNTI4NTUKEzg1MDI2Mzk0NzM0MDM1NjU0NjMKEzgwNzI1MTEzNzA5MTc5ODIxMDYKFDEyODI4ODAxODY0MTUzOTU4NTA3ChMyNTIzODE3Mzk0MDUwNDgwMjI2ChQxNzMwMTc5MTkwMDAxNjk0ODA2OQoTNjcxODgxNTQ0Mjg3ODgyOTk3OAoTMjYyOTk4OTkwOTU1NDM0MTc3MBoWChQxNzMwMTc5MTkwMDAxNjk0ODA2OVoUMTczMDE3OTE5MDAwMTY5NDgwNjlqiBcSATAYACJFGjEACipoaHB6ZmV3cnB1Zm5jYm5jaGhVQ0kyeHE5T1hVU2JRR2IzR2RLeF9peGcSAgASKhDCDw8aDz8T9yeCBCQBgAQrKosBEAEaeIH89_sAAAEA-Pz6BwEG_QEHAADv9___AOQA8QkA_QEABPL-AgQAAAAC-wH--gAAAP349wL7_gAAFQT0APUAAAAC-_n6AQAAABEA_PD_AQAA8vP49QIAAAAP6_sB_wAAAAAO-fEAAAAABgwG_AAAAAAXCQsBAAAAACAALQZu1Ds4E0AJSE5QAiqEAhAAGvABf-4AAOD4uAHvBtoA7RfqAMsbEQAHLPMAwfzrAM8U2gDuGPcA5Ov1ABQi9QDLG9sABcnZ_97Y_QEv8AD_MM0KAP0P_AE8APcBNhEp_yvk4f_hIRD_-fokABba1wIYGOEADOQP_xwO8wL_6NAAIfwqAeMiFwIoAgv_8NEYAwf0FQD4-cz-_i4HA_Hg__r2GggHJekDAg4FB_XpHesC5OwO-gHTDP4mKfEBHOHjABQD__3W0Qz--PADAvc7EA4GD-AL6OQb_9voAPnr6vz9KgYU-P0w-gr95PQJ6AQFAxT_Dwfy3foJAwzyCBQC5fnoFuLzIAAtGCAkOzgTQAlIYVACKs8HEAAawAeJCfK-766OvD0W0bwlm0Y9hHZDt0C2Fr3g4te8eLQQPNiTBrsYmAU-gDPrO3-zvbu6cLu9xqJpvPVQ17typ6w-LSVrveFIe7yHNCq-nmmoPbZyZbzn_iq-Xcv_PEh0Kjw7PUo8QRguPBhjOzyrTaI9VNwdvQl2Er1WELM9B-oUO7O8Qb3cahk69RFYvRN8WL0QFwq9vv-qvJkC4zouWaU9Y0JMvB8IWjzK54A9hte_vI9sLjzyKMC9r63EPIVzETuP_ew9tBVlPfxkYLrP2QK9CSsAuwa3WjyXV869oKkyvBD8ubwmQKg9kKgrPW_RrrxKxMU9l9MUvTBjirwNUyu-XLKmO2K6NbwbKps9WJ1GPd9ML7uu9Cq-bcXePYrUC7uKlSy85Z90PDfjNLwA8oQ9iSsCPfgrLjzQgJU9Q5CDPMF9kbsFKi08RkEQPd3zVzxfcJc8fTOcO7LOgrycBKU8XQB1PKMngLx8nXS9NsIMPaJ91znd9EI7_QURPWNFqjsB6t26oX6bO7njqLwFI6U91gI7vknlmjomlHm9sQlavZGCfTl33PA8RvsuPfYNp7xu_Ok9TOStvStzqbv50A-9196nun5a3jtHVOg8zCg2vSqFCLw01E28jhsCPEKhErz8ZYG9jqFSPN_rWrx_Dhi9oGeYPKasTzu40gY9CFbVvT66ErpowIo9tcCDPBQmiDuAY7K7lGD7PKDHpDvaxyo9IUs1vYC2uLuEdQ29i9gMvb8jcLsDuJS93j1AvAk4jjnurw4-nxKRvX7QlDkcegs94sYSPE0vKLpzS7u98-34PNxy6TgxTYm7jR1EuouCqDgUnYu9iXrhvcYncDn0RYw8zNC4PHmjJTr2nG89vbXCPKauaji0ETm9NygLva1-EDm9YZG8x6tivMCRxbjxE4I9P7qiPcduWTe_B5S8IqqLvLJFBrltMck8KEnyvLSerDhbrXg97vQZPfKxmDjDgCU8546OvcNmcjmO9mk9eQiOPYpdnjhlhNy8rJeVPXovCTfmVWI9U5JVPQAuKjgVUVg9sRTNu7fa7DaL15Y9nw8FPSCNFbg-EkW9pnE5PLUzCTkW1Yc8XgiDO3NMlDiGqng9tSIAvdovAzjwF1O9Z2tYvNf4EzfB4ys-3KVovAeJdLmTjJy8JrGqvfcB27jVXZm8EZeCvQdxA7gdPoQ8kWHVPbj3vLfcjVS9nSezvSw0Ergi_-w9NSkFPvN-W7hmXAK9dBZMPYB4mLiyq4-9fLr6PHOUNDdW1ha-MVaQvfWEoLggADgTQAlIbVABKnMQABpgMtUAGA4h0xcR--_I6-Yz4bAN6h6UBf_P-v8STM0WOuYBtAcMAAzp_eqeAAAAHB7ZExAA-H-20Cw199cA8Z0DCjZrzhvnxrfvMci5MjQe6RsEIhFQAPnyoQFZ8dgFN_IMIAAtVB0VOzgTQAlIb1ACKq8GEAwaoAYAAIA_AAB4QgAALEIAAADCAAA8QgAACEIAADxCAABgwQAARMIAAKBBAACgQAAAlMIAADTCAACAvwAAuEIAADTCAAAwwQAAqMEAAEDAAABswgAAWMIAANDBAACAwQAA8EEAAJBBAAAAwgAAuMEAAAzCAACAwQAAgkIAADzCAACAwAAAQMEAAHxCAAC2wgAAFMIAAIC_AADcQgAAQEAAAGxCAADAQQAAoEEAAEhCAACAwAAAGEIAAHDCAADwwQAA4MAAAMBBAAAMQgAAsMEAAIA_AADAQAAAoEAAAIA_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_AAAswgAAwEEAABRCAACEwgAAAMEAAKTCAABUwiAAOBNACUh1UAEqjwIQABqAAgAAbL4AADw-AABsPgAAjj4AABA9AAC2PgAAQLwAACG_AAC4vQAAPD4AABC9AACIvQAAqD0AAII-AAAkvgAAPL4AAIY-AAAQvQAAhj4AAB8_AAB_PwAADL4AAPi9AAAwPQAAUD0AAFS-AACoPQAALL4AANg9AAB8PgAAgDsAACS-AAC4vQAALD4AABA9AAAUvgAAiL0AALi9AACavgAAdL4AADy-AABcPgAARD4AACy-AACIvQAA2L0AAGQ-AAAwPQAAEL0AAGS-AADIvQAABL4AAII-AABcPgAAdL4AAIA7AAA7PwAAgr4AAOC8AAAkPgAA-L0AAPg9AACYPQAAUD0gADgTQAlIfFABKo8CEAEagAIAAMi9AAAkPgAAgLsAAFO_AACyvgAAgLsAABQ-AAAQvQAAuL0AAHQ-AAAwPQAApr4AAKi9AABsvgAAJL4AALi9AABkvgAAPT8AAEC8AAAEPgAAqD0AAMK-AADgPAAA6L0AAPi9AACIPQAABL4AABQ-AAAcPgAAgDsAAMg9AAAQvQAATL4AAKi9AACoPQAAuL0AAK4-AAAsPgAAnr4AAEC8AAB8PgAAML0AADA9AADgPAAA-L0AAFQ-AAB_vwAAMD0AAKi9AADIPQAA-D0AAPi9AACCPgAAgDsAAAw-AACAOwAAEL0AAKY-AABwvQAABL4AAFQ-AAC4PQAAiL0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=9HqHLQBuMPY","parent-reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":626,"cheight":360,"cratio":1.73888,"dups":["17301791900016948069"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"651354548"}},"dups":{"14870929640957990178":{"videoId":"14870929640957990178","title":"\u0007[Physicists\u0007] measure quantum \u0007[geometry\u0007] \u0007[for\u0007] first time","cleanTitle":"Physicists measure quantum geometry for first time","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lZ7pqbhuVSA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lZ7pqbhuVSA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZEk2NHo0S3ZOUXI5QzFObERhdUo5QQ==","name":"GOLAHURA","isVerified":false,"subscribersCount":0,"url":"/video/search?text=GOLAHURA","origUrl":"http://www.youtube.com/@YASAR-O-ARTAR","a11yText":"GOLAHURA. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":279,"text":"4:39","a11yText":"Süre 4 dakika 39 saniye","shortText":"4 dk."},"date":"23 ara 2024","modifyTime":1734912000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lZ7pqbhuVSA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lZ7pqbhuVSA","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":279},"parentClipId":"14870929640957990178","href":"/preview/14870929640957990178?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/14870929640957990178?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10661551146520853002":{"videoId":"10661551146520853002","title":"\u0007[Geometry\u0007] \u0007[for\u0007] \u0007[Physics\u0007] - In 5 Short Minutes","cleanTitle":"Geometry for Physics - In 5 Short Minutes","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fBNfizHJkt0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fBNfizHJkt0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMkMzNFdkWU1PbTQ3UGtXb3Z2ekxwdw==","name":"The Glaser Tutoring Company","isVerified":false,"subscribersCount":0,"url":"/video/search?text=The+Glaser+Tutoring+Company","origUrl":"http://www.youtube.com/@GlaserTutoring","a11yText":"The Glaser Tutoring Company. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":301,"text":"5:01","a11yText":"Süre 5 dakika 1 saniye","shortText":"5 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"3 mar 2021","modifyTime":1614729600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fBNfizHJkt0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fBNfizHJkt0","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":301},"parentClipId":"10661551146520853002","href":"/preview/10661551146520853002?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/10661551146520853002?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"375280028945473990":{"videoId":"375280028945473990","title":"\u0007[Geometry\u0007] \u0007[for\u0007] \u0007[Physics\u0007]","cleanTitle":"Geometry for Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qclRlUkWbJc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qclRlUkWbJc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":601,"text":"10:01","a11yText":"Süre 10 dakika 1 saniye","shortText":"10 dk."},"views":{"text":"22,6bin","a11yText":"22,6 bin izleme"},"date":"8 oca 2024","modifyTime":1704672000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qclRlUkWbJc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qclRlUkWbJc","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":601},"parentClipId":"375280028945473990","href":"/preview/375280028945473990?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/375280028945473990?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13877103752804635741":{"videoId":"13877103752804635741","title":"1.4 Quaternions | \u0007[Geometric\u0007] Algebra \u0007[for\u0007] \u0007[Physicists\u0007]","cleanTitle":"1.4 Quaternions | Geometric Algebra for Physicists","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7mvf9x5QS1w","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7mvf9x5QS1w?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDdTROd1dYb0RNOXB5bE5Scjk1cEtEUQ==","name":"Eccentric","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Eccentric","origUrl":"http://www.youtube.com/@EccentricTuber","a11yText":"Eccentric. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":61,"text":"1:01","a11yText":"Süre 1 dakika 1 saniye","shortText":"1 dk."},"date":"10 ağu 2021","modifyTime":1628553600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7mvf9x5QS1w?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7mvf9x5QS1w","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":61},"parentClipId":"13877103752804635741","href":"/preview/13877103752804635741?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/13877103752804635741?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10709073186451659594":{"videoId":"10709073186451659594","title":"\u0007[Geometry\u0007] \u0007[for\u0007] \u0007[physics\u0007] Part 30","cleanTitle":"Geometry for physics Part 30","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=awz6hk2wCEo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/awz6hk2wCEo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRVhGX25pLVhlTFpXV1h1RlZ4TkUwdw==","name":"Numerical King","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Numerical+King","a11yText":"Numerical King. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":0,"text":"","a11yText":"","shortText":""},"date":"27 kas 2025","modifyTime":1764209788000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/awz6hk2wCEo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=awz6hk2wCEo","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":0},"parentClipId":"10709073186451659594","href":"/preview/10709073186451659594?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/10709073186451659594?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2813195868498503372":{"videoId":"2813195868498503372","title":"Gravitation (2025): Lecture 8 - Riemannian \u0007[geometry\u0007] \u0007[for\u0007] \u0007[physicists\u0007]","cleanTitle":"Gravitation (2025): Lecture 8 - Riemannian geometry for physicists","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Gy54JSVmmso","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Gy54JSVmmso?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMjVseXRnZ2xxbGtsclVqM3A1V0J4UQ==","name":"Sunil Mukhi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Sunil+Mukhi","origUrl":"http://www.youtube.com/@mukhisunil","a11yText":"Sunil Mukhi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3263,"text":"54:23","a11yText":"Süre 54 dakika 23 saniye","shortText":"54 dk."},"date":"30 ağu 2025","modifyTime":1756512000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Gy54JSVmmso?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Gy54JSVmmso","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":3263},"parentClipId":"2813195868498503372","href":"/preview/2813195868498503372?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/2813195868498503372?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14893654486849285234":{"videoId":"14893654486849285234","title":"Virtual Simulation \u0007[Geometric\u0007] Optics \u0007[for\u0007] \u0007[Physics\u0007] Class | Interactive Science Experiment","cleanTitle":"Virtual Simulation Geometric Optics for Physics Class | Interactive Science Experiment","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Q2U4FsGq8pI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Q2U4FsGq8pI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDb2pQNVlqWk5RUVZiTG43NWRRVHpodw==","name":"VIRTUAL LAB SIMULATION","isVerified":false,"subscribersCount":0,"url":"/video/search?text=VIRTUAL+LAB+SIMULATION","origUrl":"http://www.youtube.com/@VirtualLabSimulation","a11yText":"VIRTUAL LAB SIMULATION. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":264,"text":"4:24","a11yText":"Süre 4 dakika 24 saniye","shortText":"4 dk."},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"31 tem 2022","modifyTime":1659225600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Q2U4FsGq8pI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Q2U4FsGq8pI","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":264},"parentClipId":"14893654486849285234","href":"/preview/14893654486849285234?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/14893654486849285234?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8045539515681512497":{"videoId":"8045539515681512497","title":"Basic \u0007[Geometry\u0007] \u0007[For\u0007] Ray Optics | Basic \u0007[Geometry\u0007] \u0007[For\u0007] \u0007[Physics\u0007] | Ray Optics Class 12...","cleanTitle":"Basic Geometry For Ray Optics | Basic Geometry For Physics | Ray Optics Class 12 Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=eS9cNFaYkl0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/eS9cNFaYkl0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWUdYc2pMYTBZM3lwTGNPYUp4SHVldw==","name":"PHYSICS BY M ANWAR","isVerified":true,"subscribersCount":0,"url":"/video/search?text=PHYSICS+BY+M+ANWAR","origUrl":"http://www.youtube.com/@PHYSICSBYMANWAR","a11yText":"PHYSICS BY M ANWAR. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":363,"text":"6:03","a11yText":"Süre 6 dakika 3 saniye","shortText":"6 dk."},"views":{"text":"13,9bin","a11yText":"13,9 bin izleme"},"date":"23 eki 2022","modifyTime":1666483200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/eS9cNFaYkl0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=eS9cNFaYkl0","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":363},"parentClipId":"8045539515681512497","href":"/preview/8045539515681512497?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/8045539515681512497?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5418515506828639504":{"videoId":"5418515506828639504","title":"\u0007[Geometry\u0007] \u0007[for\u0007] \u0007[Physics\u0007] (Short discussion) || \u0007[Physics\u0007] || JEE MAIN || NEET || CBSE || IS...","cleanTitle":"Geometry for Physics (Short discussion) || Physics || JEE MAIN || NEET || CBSE || ISC || Wbchse","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3kRUtztQYxE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3kRUtztQYxE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVHVmeXhGaGUwTGItMnhYa2xKN1pQZw==","name":"INTUITION EDUCATION","isVerified":false,"subscribersCount":0,"url":"/video/search?text=INTUITION+EDUCATION","origUrl":"http://www.youtube.com/@intuitioneducation2997","a11yText":"INTUITION EDUCATION. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1958,"text":"32:38","a11yText":"Süre 32 dakika 38 saniye","shortText":"32 dk."},"date":"18 mayıs 2020","modifyTime":1589760000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3kRUtztQYxE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3kRUtztQYxE","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":1958},"parentClipId":"5418515506828639504","href":"/preview/5418515506828639504?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/5418515506828639504?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18425959305535622099":{"videoId":"18425959305535622099","title":"Computational \u0007[Geometry\u0007] \u0007[for\u0007] \u0007[Physicists\u0007] (2020)","cleanTitle":"Computational Geometry for Physicists (2020)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9g2J7X4oxps","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9g2J7X4oxps?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbGNwZ1NLSWQ5dkV5RGJoTlNfODVGdw==","name":"Advanced Cyberinfrastructure Training at RPI","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Advanced+Cyberinfrastructure+Training+at+RPI","origUrl":"http://www.youtube.com/@advancedcyberinfrastructur3998","a11yText":"Advanced Cyberinfrastructure Training at RPI. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4341,"text":"1:12:21","a11yText":"Süre 1 saat 12 dakika 21 saniye","shortText":"1 sa. 12 dk."},"date":"26 ağu 2020","modifyTime":1598400000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9g2J7X4oxps?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9g2J7X4oxps","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":4341},"parentClipId":"18425959305535622099","href":"/preview/18425959305535622099?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/18425959305535622099?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"504945267932936511":{"videoId":"504945267932936511","title":"ASMR Math/\u0007[Physics\u0007]: \u0007[Geometry\u0007]/Kinematics: Area of a Triangle/Interpreting a Velocity-Time Grap...","cleanTitle":"ASMR Math/Physics: Geometry/Kinematics: Area of a Triangle/Interpreting a Velocity-Time Graph","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=pt_Nohlsw0A","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/pt_Nohlsw0A?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZTRIQkJBZUswQ1lvaXI0TGpYVThmQQ==","name":"chycho","isVerified":false,"subscribersCount":0,"url":"/video/search?text=chycho","origUrl":"http://www.youtube.com/@chycho","a11yText":"chycho. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1781,"text":"29:41","a11yText":"Süre 29 dakika 41 saniye","shortText":"29 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"9 eki 2019","modifyTime":1570579200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/pt_Nohlsw0A?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=pt_Nohlsw0A","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":1781},"parentClipId":"504945267932936511","href":"/preview/504945267932936511?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/504945267932936511?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3196849902831773937":{"videoId":"3196849902831773937","title":"Basic Maths \u0007[for\u0007] \u0007[Physics\u0007] \u0007[Geometry\u0007]| NEET 2026 & 2027 | Class 11 | Shreyas Sir","cleanTitle":"Basic Maths for Physics Geometry| NEET 2026 & 2027 | Class 11 | Shreyas Sir","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LEWdZy_antc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LEWdZy_antc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDdDhPRll5ZVhXbXU4amlMVTNoVXdqdw==","name":"Vedantu NEET English","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Vedantu+NEET+English","origUrl":"http://www.youtube.com/@NEETEnglish","a11yText":"Vedantu NEET English. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":7138,"text":"1:58:58","a11yText":"Süre 1 saat 58 dakika 58 saniye","shortText":"1 sa. 58 dk."},"views":{"text":"9,8bin","a11yText":"9,8 bin izleme"},"date":"11 haz 2025","modifyTime":1749645121000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LEWdZy_antc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LEWdZy_antc","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":7138},"parentClipId":"3196849902831773937","href":"/preview/3196849902831773937?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/3196849902831773937?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18412155554560252855":{"videoId":"18412155554560252855","title":"Lines and angles (Part-2) Basic \u0007[Geometry\u0007] used in \u0007[Physics\u0007] #\u0007[geometry\u0007]","cleanTitle":"Lines and angles (Part-2) Basic Geometry used in Physics #geometry","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=CLRfkgjofis","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CLRfkgjofis?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbFJNeXdLT1kwSU9aYU9YbTROZWd0Zw==","name":"Concept ka funda","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Concept+ka+funda","origUrl":"http://www.youtube.com/@Conceptkafunda","a11yText":"Concept ka funda. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1795,"text":"29:55","a11yText":"Süre 29 dakika 55 saniye","shortText":"29 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"7 ağu 2022","modifyTime":1659830400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CLRfkgjofis?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CLRfkgjofis","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":1795},"parentClipId":"18412155554560252855","href":"/preview/18412155554560252855?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/18412155554560252855?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8502639473403565463":{"videoId":"8502639473403565463","title":"Ugo Bruzzo - Algebraic \u0007[geometry\u0007] \u0007[for\u0007] \u0007[physicists\u0007], part 3","cleanTitle":"Ugo Bruzzo - Algebraic geometry for physicists, part 3","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qfSXPSWmiT0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qfSXPSWmiT0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMWpzU2ZqdDhNUFJxSzI1NEhWMWk5UQ==","name":"GraduatePhysics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=GraduatePhysics","origUrl":"http://www.youtube.com/@GraduatePhysics","a11yText":"GraduatePhysics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":5556,"text":"1:32:36","a11yText":"Süre 1 saat 32 dakika 36 saniye","shortText":"1 sa. 32 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"19 haz 2015","modifyTime":1434672000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qfSXPSWmiT0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qfSXPSWmiT0","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":5556},"parentClipId":"8502639473403565463","href":"/preview/8502639473403565463?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/8502639473403565463?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8072511370917982106":{"videoId":"8072511370917982106","title":"Ugo Bruzzo 1/3 [Mini-Course: Algebraic \u0007[Geometry\u0007] \u0007[For\u0007] \u0007[Physicists\u0007]]","cleanTitle":"Ugo Bruzzo 1/3 [Mini-Course: Algebraic Geometry For Physicists]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=QTRXayd5lbI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/QTRXayd5lbI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSTJ4cTlPWFVTYlFHYjNHZEt4X2l4Zw==","name":"Graduate Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Graduate+Mathematics","origUrl":"http://www.youtube.com/@GraduateMathematics","a11yText":"Graduate Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4990,"text":"1:23:10","a11yText":"Süre 1 saat 23 dakika 10 saniye","shortText":"1 sa. 23 dk."},"views":{"text":"3,4bin","a11yText":"3,4 bin izleme"},"date":"11 ağu 2016","modifyTime":1470873600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/QTRXayd5lbI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=QTRXayd5lbI","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":4990},"parentClipId":"8072511370917982106","href":"/preview/8072511370917982106?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/8072511370917982106?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12828801864153958507":{"videoId":"12828801864153958507","title":"Ugo Bruzzo - Algebraic \u0007[geometry\u0007] \u0007[for\u0007] \u0007[physicists\u0007], part 2","cleanTitle":"Ugo Bruzzo - Algebraic geometry for physicists, part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ySixt8Nv6L4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ySixt8Nv6L4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMWpzU2ZqdDhNUFJxSzI1NEhWMWk5UQ==","name":"GraduatePhysics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=GraduatePhysics","origUrl":"http://www.youtube.com/@GraduatePhysics","a11yText":"GraduatePhysics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":5121,"text":"1:25:21","a11yText":"Süre 1 saat 25 dakika 21 saniye","shortText":"1 sa. 25 dk."},"views":{"text":"2,7bin","a11yText":"2,7 bin izleme"},"date":"19 haz 2015","modifyTime":1434672000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ySixt8Nv6L4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ySixt8Nv6L4","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":5121},"parentClipId":"12828801864153958507","href":"/preview/12828801864153958507?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/12828801864153958507?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2523817394050480226":{"videoId":"2523817394050480226","title":"basic coordinate \u0007[geometry\u0007] (\u0007[physics\u0007])","cleanTitle":"basic coordinate geometry (physics)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dNvIS9-4o9A","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dNvIS9-4o9A?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbzk5TjNRdjZMdUp0VVBGU3JrYUpoUQ==","name":"Calculus Career Institute","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Calculus+Career+Institute","origUrl":"http://www.youtube.com/@calculuscareerinstitute4384","a11yText":"Calculus Career Institute. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2488,"text":"41:28","a11yText":"Süre 41 dakika 28 saniye","shortText":"41 dk."},"date":"18 nis 2025","modifyTime":1744934400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dNvIS9-4o9A?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dNvIS9-4o9A","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":2488},"parentClipId":"2523817394050480226","href":"/preview/2523817394050480226?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/2523817394050480226?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17301791900016948069":{"videoId":"17301791900016948069","title":"Ugo Bruzzo 2/3 [Mini-Course: Algebraic \u0007[Geometry\u0007] \u0007[For\u0007] \u0007[Physicists\u0007]]","cleanTitle":"Ugo Bruzzo 2/3 [Mini-Course: Algebraic Geometry For Physicists]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9HqHLQBuMPY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9HqHLQBuMPY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSTJ4cTlPWFVTYlFHYjNHZEt4X2l4Zw==","name":"Graduate Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Graduate+Mathematics","origUrl":"http://www.youtube.com/@GraduateMathematics","a11yText":"Graduate Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":5111,"text":"1:25:11","a11yText":"Süre 1 saat 25 dakika 11 saniye","shortText":"1 sa. 25 dk."},"date":"11 ağu 2016","modifyTime":1470873600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9HqHLQBuMPY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9HqHLQBuMPY","reqid":"1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL","duration":5111},"parentClipId":"17301791900016948069","href":"/preview/17301791900016948069?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","rawHref":"/video/preview/17301791900016948069?parent-reqid=1769427863254640-3831308965242583484-balancer-l7leveler-kubr-yp-klg-4-BAL&text=GeometryForPhysicists","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"0383130896524258348474","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"GeometryForPhysicists","queryUriEscaped":"Geometry%20For%20Physicists","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}